balaji R A G H U N A T H wadkar | AISECT UNIVERSITY (original) (raw)

Papers by balaji R A G H U N A T H wadkar

Research paper thumbnail of Advancing Convergence Rates in Nonlinear Equation Solvers

Indian Scientific Journal Of Research In Engineering And Management, Jan 7, 2024

It is crucial to achieve high-order convergence for nonlinear equations in numerical analysis and... more It is crucial to achieve high-order convergence for nonlinear equations in numerical analysis and scientific computing. Newton-Raphson and other conventional techniques frequently converge slowly. High-order algorithms offer quicker convergence and less expensive processing.This abstract outlines important ideas and innovations, such as improved Newtonian methods for better convergence. To hasten convergence, these techniques make use of enhanced Jacobian matrix approximations and higher-order derivatives. Additionally, it covers useful topics like dealing with stability problems and computing higher-order derivatives, which could lead to efficiency and accuracy gains in scientific and engineering applications.

Research paper thumbnail of Common Fixed Point Theorem in T0 Quasi Metric Space

Fluid mechanics: open access, 2017

In this paper, we prove fixed point theorems for generalized C-contractive and generalized S-cont... more In this paper, we prove fixed point theorems for generalized C-contractive and generalized S-contractive mappings in a bi-complete di-metric space. The relationship between q-spherically complete T 0 Ultra-quasi-metric space and bi-complete diametric space is pointed out in proposition 3.2. This work is motivated by Petals and Fvidalis in a T 0-ultraquasi-metric space

Research paper thumbnail of Dislocated Soft Metric Space with Soft Fixed Point Theorems

Open journal of Discrete Mathematics, 2017

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and ... more In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

Research paper thumbnail of Common Fixed Point Theorems in Metric Space by Altering Distance Function

Advances in Pure Mathematics, 2017

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for se... more In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.

Research paper thumbnail of Coupled Fixed Point Theorems in Soft Metric Space

Materials Today: Proceedings, 2020

This paper contains the coupled soft fixed theorems with themonotone and alpha monotone rule in s... more This paper contains the coupled soft fixed theorems with themonotone and alpha monotone rule in soft metric space.

Research paper thumbnail of Fixed Point Theorems in fuzzy Metric Space

Materials Today: Proceedings, 2020

In the paper we find some FPT in fuzzy 2-metric spaces on 4-mappings and 6-mappings with the help... more In the paper we find some FPT in fuzzy 2-metric spaces on 4-mappings and 6-mappings with the help of theory of sub compatible of type (kind) A.

Research paper thumbnail of Coupled Fixed Point Theorem in Partially Ordered Metric Spaces

American journal of mathematical analysis, Jan 23, 2014

In this paper, we obtain some unique coupled fixed point theorem in a complete metric space endow... more In this paper, we obtain some unique coupled fixed point theorem in a complete metric space endowed with a partial order. We also give example to validate the main result in this paper.

Research paper thumbnail of A Common Fixed Point Theorem in Dislocated Metric Space 1

In this paper, we discuss the existence and unique of fixed point for two pairs of weakly compati... more In this paper, we discuss the existence and unique of fixed point for two pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results. Methods: Using familiar techniques, we extend the results in dislocated metric space. Mathematical Subject Classification: 47H10, 54H25

Research paper thumbnail of Dislocated Metric Space with Some Fixed Point Theorems

International Journal of Scientific and Innovative Mathematical Research, 2019

In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in the contex... more In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in the context of dislocated metric space. We consider some examples to illustrate the validity of the derived results of this paper.

Research paper thumbnail of • Some New Results in Topological Space for Non–symmetric Rational Expression Concerning 2-BANACH Space

Research Journal of Pure Algebra (RJPA), 2011

... Ghalar (9) introduced the concept of 2 Banach space. Recently Badshah, Gupta (10) also proved... more ... Ghalar (9) introduced the concept of 2 Banach space. Recently Badshah, Gupta (10) also proved the some results in 2-Banach spaces. Yadava et.al [19, 20] also worked for Banach & 2banach spaces for non –contraction mappings. ...

Research paper thumbnail of Coupled Fixed Point Theorems in Soft Metric Space

Materials Today: Proceedings

Abstract This paper contains the coupled soft fixed theorems with themonotone and alpha monotone ... more Abstract This paper contains the coupled soft fixed theorems with themonotone and alpha monotone rule in soft metric space

Research paper thumbnail of Some Fixed Point Theorems in Metric Space by using Altering Distance function

Mathematical theory and modeling, 2013

In this paper we prove some fixed point theorem in metric space by using altering distance functi... more In this paper we prove some fixed point theorem in metric space by using altering distance function. AMS Subject Classification: 47H10, 54H25 . Keywords: Metric space, fixed point, common fixed point, altering distance function.

Research paper thumbnail of Fixed Point Theorem In Fuzzy 3-Metric Space

In this paper we prove a common fixed point theorem for three mappings in fuzzy metric space, fuz... more In this paper we prove a common fixed point theorem for three mappings in fuzzy metric space, fuzzy 2-metric space and fuzzy 3metric space.

Research paper thumbnail of Integral Type Common Fixed Point Theorems for Cone Metric space

Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach... more Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach’s contraction principle for an integral-type inequality. The authors in [2–6] proved some fixed point theorems involving more general contractive conditions. Also in [7], Suzuki shows that Meir-Keeler contractions of integral type are still Meir-Keeler contractions. In this paper, we establish a fixed point theorem for weakly compatible maps satisfying a general contractive inequality of integral type.

Research paper thumbnail of Some Fixed Point Theorems in Dislocated Metric Space

In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in dislocated... more In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in dislocated metric space. With the help of some examples we also prove the validity of the derived results.

Research paper thumbnail of Fixed Point Theorems In Fuzzy 2-Metric Spaces

In this paper we obtain some fixed point theorems in fuzzy 2metric spaces on four-mappings and si... more In this paper we obtain some fixed point theorems in fuzzy 2metric spaces on four-mappings and six -mappings using the concept of sub compatible of type A.

Research paper thumbnail of Fixed Point Theorems in fuzzy Metric Space

Materials Today: Proceedings, 2020

Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings wi... more Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings with the help of theory of sub compatible of type (kind) A

Research paper thumbnail of Fixed Point Theorems in fuzzy Metric Space

Materials Today: Proceedings, 2020

Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings wi... more Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings with the help of theory of sub compatible of type (kind) A

Research paper thumbnail of Dislocated Soft Metric Space with Soft Fixed Point Theorems

Open Journal of Discrete Mathematics, 2017

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and ... more In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

Research paper thumbnail of Common Fixed Point Theorems in Metric Space by Altering Distance Function

Advances in Pure Mathematics, 2017

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for se... more In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.

Research paper thumbnail of Advancing Convergence Rates in Nonlinear Equation Solvers

Indian Scientific Journal Of Research In Engineering And Management, Jan 7, 2024

It is crucial to achieve high-order convergence for nonlinear equations in numerical analysis and... more It is crucial to achieve high-order convergence for nonlinear equations in numerical analysis and scientific computing. Newton-Raphson and other conventional techniques frequently converge slowly. High-order algorithms offer quicker convergence and less expensive processing.This abstract outlines important ideas and innovations, such as improved Newtonian methods for better convergence. To hasten convergence, these techniques make use of enhanced Jacobian matrix approximations and higher-order derivatives. Additionally, it covers useful topics like dealing with stability problems and computing higher-order derivatives, which could lead to efficiency and accuracy gains in scientific and engineering applications.

Research paper thumbnail of Common Fixed Point Theorem in T0 Quasi Metric Space

Fluid mechanics: open access, 2017

In this paper, we prove fixed point theorems for generalized C-contractive and generalized S-cont... more In this paper, we prove fixed point theorems for generalized C-contractive and generalized S-contractive mappings in a bi-complete di-metric space. The relationship between q-spherically complete T 0 Ultra-quasi-metric space and bi-complete diametric space is pointed out in proposition 3.2. This work is motivated by Petals and Fvidalis in a T 0-ultraquasi-metric space

Research paper thumbnail of Dislocated Soft Metric Space with Soft Fixed Point Theorems

Open journal of Discrete Mathematics, 2017

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and ... more In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

Research paper thumbnail of Common Fixed Point Theorems in Metric Space by Altering Distance Function

Advances in Pure Mathematics, 2017

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for se... more In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.

Research paper thumbnail of Coupled Fixed Point Theorems in Soft Metric Space

Materials Today: Proceedings, 2020

This paper contains the coupled soft fixed theorems with themonotone and alpha monotone rule in s... more This paper contains the coupled soft fixed theorems with themonotone and alpha monotone rule in soft metric space.

Research paper thumbnail of Fixed Point Theorems in fuzzy Metric Space

Materials Today: Proceedings, 2020

In the paper we find some FPT in fuzzy 2-metric spaces on 4-mappings and 6-mappings with the help... more In the paper we find some FPT in fuzzy 2-metric spaces on 4-mappings and 6-mappings with the help of theory of sub compatible of type (kind) A.

Research paper thumbnail of Coupled Fixed Point Theorem in Partially Ordered Metric Spaces

American journal of mathematical analysis, Jan 23, 2014

In this paper, we obtain some unique coupled fixed point theorem in a complete metric space endow... more In this paper, we obtain some unique coupled fixed point theorem in a complete metric space endowed with a partial order. We also give example to validate the main result in this paper.

Research paper thumbnail of A Common Fixed Point Theorem in Dislocated Metric Space 1

In this paper, we discuss the existence and unique of fixed point for two pairs of weakly compati... more In this paper, we discuss the existence and unique of fixed point for two pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results. Methods: Using familiar techniques, we extend the results in dislocated metric space. Mathematical Subject Classification: 47H10, 54H25

Research paper thumbnail of Dislocated Metric Space with Some Fixed Point Theorems

International Journal of Scientific and Innovative Mathematical Research, 2019

In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in the contex... more In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in the context of dislocated metric space. We consider some examples to illustrate the validity of the derived results of this paper.

Research paper thumbnail of • Some New Results in Topological Space for Non–symmetric Rational Expression Concerning 2-BANACH Space

Research Journal of Pure Algebra (RJPA), 2011

... Ghalar (9) introduced the concept of 2 Banach space. Recently Badshah, Gupta (10) also proved... more ... Ghalar (9) introduced the concept of 2 Banach space. Recently Badshah, Gupta (10) also proved the some results in 2-Banach spaces. Yadava et.al [19, 20] also worked for Banach & 2banach spaces for non –contraction mappings. ...

Research paper thumbnail of Coupled Fixed Point Theorems in Soft Metric Space

Materials Today: Proceedings

Abstract This paper contains the coupled soft fixed theorems with themonotone and alpha monotone ... more Abstract This paper contains the coupled soft fixed theorems with themonotone and alpha monotone rule in soft metric space

Research paper thumbnail of Some Fixed Point Theorems in Metric Space by using Altering Distance function

Mathematical theory and modeling, 2013

In this paper we prove some fixed point theorem in metric space by using altering distance functi... more In this paper we prove some fixed point theorem in metric space by using altering distance function. AMS Subject Classification: 47H10, 54H25 . Keywords: Metric space, fixed point, common fixed point, altering distance function.

Research paper thumbnail of Fixed Point Theorem In Fuzzy 3-Metric Space

In this paper we prove a common fixed point theorem for three mappings in fuzzy metric space, fuz... more In this paper we prove a common fixed point theorem for three mappings in fuzzy metric space, fuzzy 2-metric space and fuzzy 3metric space.

Research paper thumbnail of Integral Type Common Fixed Point Theorems for Cone Metric space

Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach... more Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach’s contraction principle for an integral-type inequality. The authors in [2–6] proved some fixed point theorems involving more general contractive conditions. Also in [7], Suzuki shows that Meir-Keeler contractions of integral type are still Meir-Keeler contractions. In this paper, we establish a fixed point theorem for weakly compatible maps satisfying a general contractive inequality of integral type.

Research paper thumbnail of Some Fixed Point Theorems in Dislocated Metric Space

In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in dislocated... more In this paper, we discuss the existence and uniqueness of fixed of a cyclic mapping in dislocated metric space. With the help of some examples we also prove the validity of the derived results.

Research paper thumbnail of Fixed Point Theorems In Fuzzy 2-Metric Spaces

In this paper we obtain some fixed point theorems in fuzzy 2metric spaces on four-mappings and si... more In this paper we obtain some fixed point theorems in fuzzy 2metric spaces on four-mappings and six -mappings using the concept of sub compatible of type A.

Research paper thumbnail of Fixed Point Theorems in fuzzy Metric Space

Materials Today: Proceedings, 2020

Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings wi... more Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings with the help of theory of sub compatible of type (kind) A

Research paper thumbnail of Fixed Point Theorems in fuzzy Metric Space

Materials Today: Proceedings, 2020

Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings wi... more Abstract In the paper we find some FPT in fuzzy 2- metric spaces on 4-mappings and 6 –mappings with the help of theory of sub compatible of type (kind) A

Research paper thumbnail of Dislocated Soft Metric Space with Soft Fixed Point Theorems

Open Journal of Discrete Mathematics, 2017

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and ... more In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

Research paper thumbnail of Common Fixed Point Theorems in Metric Space by Altering Distance Function

Advances in Pure Mathematics, 2017

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for se... more In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.