sumati panda - Academia.edu (original) (raw)

Papers by sumati panda

Mathematical Biosciences and Engineering

Extended orthogonal spaces are introduced and proved pertinent fixed point results. Thereafter, w... more Extended orthogonal spaces are introduced and proved pertinent fixed point results. Thereafter, we present an analysis of the existence and unique solutions of the novel coronavirus 2019-nCoV/SARS-CoV-2 model via fractional derivatives. To strengthen our paper, we apply an efficient numerical scheme to solve the coronavirus 2019-nCoV/SARS-CoV-2 model with different types of differential operators.

Numerical Methods for Partial Differential Equations

Computational and Applied Mathematics

Chaos, Solitons & Fractals

Journal of Inequalities and Applications

In this paper, we consider a new distance structure, extended Branciari b-distance, to combine an... more In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.

Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations

Evolution Equations & Control Theory

Chaos, Solitons & Fractals

Alexandria Engineering Journal

Alexandria Engineering Journal

Symmetry

In this article, we introduce and establish various approaches related to the F-contraction using... more In this article, we introduce and establish various approaches related to the F-contraction using new sorts of contractions, namely the extended F B e -contraction, the extended F B e -expanding contraction, and the extended generalized F B e -contraction. Thereafter, we propose a simple and efficient solution for non-linear integral equations using the fixed point technique in the setting of a B e -metric space. Moreover, to address conceptual depth within this approach, we supply illustrative examples where necessary.

Chaos, Solitons & Fractals

SpringerPlus, 2015

Background Metrics appear everywhere in Mathematics: Geometry, Probability, statistics, coding th... more Background Metrics appear everywhere in Mathematics: Geometry, Probability, statistics, coding theory, graph theory, pattern recognition, networks, computer graphics, molecular biology, theory of information and computer semantics are some of the fields in which metrics and/or their cousins play a significant role. The notion of metric spaces introduced by Frechet (1906), is one of the helpful topic in Analysis. Banach (1922) proved a fixed point theorem for contraction mapping in a complete metric space. The Banach contraction theorem is one of the primary result of functional analysis. After Banach contraction theorem, huge number of fixed point theorems have been established by various authors and they made different generalizations of this theorem. Matthews (1985) generalized Banach contraction mapping theorem in dislocated metric space. Hitzler (2001) introduce the notion of dislocated metric (d-metric) space and presented variants of Banach contraction principle for various modified forms of a metric space including dislocated metric space and applied them to semantic analysis of logic programs. Hitzler (2001) has applied fixed point theorems for self maps on dislocated metric spaces, quasi dislocated metric spaces, generalized ultra metric spaces in his thesis "Generalized Metrics and Topology in Logic Programming Semantics". In this context, Hitzler raised some related questions on the topological aspects of dislocated metrics. Recently, Sarma and Kumari (2012) initiated the concept of d-balls and established topological properties on d-metric space. In the context of d-metric space,

International Journal of Basic and Applied Sciences, 2012

In this paper we establish a common fixed point theorem for two pairs of weakly Compatible maps i... more In this paper we establish a common fixed point theorem for two pairs of weakly Compatible maps in dislocated metric(d-metric) spaces. The purpose of this note is to prove the d-metric versions for weakly compatible maps of new version for Hardy and Rogers[7] theorem which ultimately implies existence (and uniqueness in some cases) of common fixed points for weakly compatible maps that satisfy conditions analogous to those of Banach, Kannan and Chatterjea [5].

International Journal of Applied Mathematical Research, 2012

Quasi metrics have been used in several places in the literature on domain theory and the formal ... more Quasi metrics have been used in several places in the literature on domain theory and the formal semantics of programming languages [1], [3]. In this paper we introduce the concept of generalized quasi metric(=gq) space and establish some fixed point theorems in gq metric spaces.

Alexandria Engineering Journal, 2020

Mathematical Biosciences and Engineering

Extended orthogonal spaces are introduced and proved pertinent fixed point results. Thereafter, w... more Extended orthogonal spaces are introduced and proved pertinent fixed point results. Thereafter, we present an analysis of the existence and unique solutions of the novel coronavirus 2019-nCoV/SARS-CoV-2 model via fractional derivatives. To strengthen our paper, we apply an efficient numerical scheme to solve the coronavirus 2019-nCoV/SARS-CoV-2 model with different types of differential operators.

Numerical Methods for Partial Differential Equations

Computational and Applied Mathematics

Chaos, Solitons & Fractals

Journal of Inequalities and Applications

In this paper, we consider a new distance structure, extended Branciari b-distance, to combine an... more In this paper, we consider a new distance structure, extended Branciari b-distance, to combine and unify several distance notions and obtain fixed point results that cover several existing ones in the corresponding literature. As an application of our obtained result, we present a solution for a fourth-order differential equation boundary value problem.

Numerical Methods for Partial Differential Equations

Numerical Methods for Partial Differential Equations

Evolution Equations & Control Theory

Chaos, Solitons & Fractals

Alexandria Engineering Journal

Alexandria Engineering Journal

Symmetry

In this article, we introduce and establish various approaches related to the F-contraction using... more In this article, we introduce and establish various approaches related to the F-contraction using new sorts of contractions, namely the extended F B e -contraction, the extended F B e -expanding contraction, and the extended generalized F B e -contraction. Thereafter, we propose a simple and efficient solution for non-linear integral equations using the fixed point technique in the setting of a B e -metric space. Moreover, to address conceptual depth within this approach, we supply illustrative examples where necessary.

Chaos, Solitons & Fractals

SpringerPlus, 2015

Background Metrics appear everywhere in Mathematics: Geometry, Probability, statistics, coding th... more Background Metrics appear everywhere in Mathematics: Geometry, Probability, statistics, coding theory, graph theory, pattern recognition, networks, computer graphics, molecular biology, theory of information and computer semantics are some of the fields in which metrics and/or their cousins play a significant role. The notion of metric spaces introduced by Frechet (1906), is one of the helpful topic in Analysis. Banach (1922) proved a fixed point theorem for contraction mapping in a complete metric space. The Banach contraction theorem is one of the primary result of functional analysis. After Banach contraction theorem, huge number of fixed point theorems have been established by various authors and they made different generalizations of this theorem. Matthews (1985) generalized Banach contraction mapping theorem in dislocated metric space. Hitzler (2001) introduce the notion of dislocated metric (d-metric) space and presented variants of Banach contraction principle for various modified forms of a metric space including dislocated metric space and applied them to semantic analysis of logic programs. Hitzler (2001) has applied fixed point theorems for self maps on dislocated metric spaces, quasi dislocated metric spaces, generalized ultra metric spaces in his thesis "Generalized Metrics and Topology in Logic Programming Semantics". In this context, Hitzler raised some related questions on the topological aspects of dislocated metrics. Recently, Sarma and Kumari (2012) initiated the concept of d-balls and established topological properties on d-metric space. In the context of d-metric space,

International Journal of Basic and Applied Sciences, 2012

In this paper we establish a common fixed point theorem for two pairs of weakly Compatible maps i... more In this paper we establish a common fixed point theorem for two pairs of weakly Compatible maps in dislocated metric(d-metric) spaces. The purpose of this note is to prove the d-metric versions for weakly compatible maps of new version for Hardy and Rogers[7] theorem which ultimately implies existence (and uniqueness in some cases) of common fixed points for weakly compatible maps that satisfy conditions analogous to those of Banach, Kannan and Chatterjea [5].

International Journal of Applied Mathematical Research, 2012

Quasi metrics have been used in several places in the literature on domain theory and the formal ... more Quasi metrics have been used in several places in the literature on domain theory and the formal semantics of programming languages [1], [3]. In this paper we introduce the concept of generalized quasi metric(=gq) space and establish some fixed point theorems in gq metric spaces.

Alexandria Engineering Journal, 2020