Satish Shukla | Shri Vaishnav Institute of Technology and Science (original) (raw)

Satish Shukla

Address: Indore, Madhya Pradesh, India

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Papers by Satish Shukla

Research paper thumbnail of Fixed Points of α-Dominated Mappings on Dislocated Quasi Metric Spaces

We prove some common fixed point results for two α-dominated mappings satisfying some restricted ... more We prove some common fixed point results for two α-dominated mappings satisfying some restricted contractive conditions on a closed ball of a left (right) K-sequentially complete dislocated quasi metric space. Some examples are given to show the utility of our work. The results of this paper complement, extend and enrich several recent results in the literature.

Research paper thumbnail of Set-valued G-Prešić operators on metric spaces endowed with a graph and fixed point theorems

Fixed Point Theory and Applications, 2015

Research paper thumbnail of G-Prešić operators on metric spaces endowed with a graph and fixed point theorems

Fixed Point Theory and Applications, 2014

Research paper thumbnail of Prešić type results in 2-Banach spaces

Research paper thumbnail of A Generalized Banach Fixed Point Theorem

Bulletin of the Malaysian Mathematical Sciences Society, 2015

Research paper thumbnail of A Generalization of Prešić Type Mappings in Metric-Like Spaces

Research paper thumbnail of Reich Type Contractions on Cone Rectangular Metric Spaces Endowed with a Graph

Theory and Applications of Mathematics Computer Science, 2014

Research paper thumbnail of Presic-Boyd-Wong Type Results in Ordered Metric Spaces

International Journal of Analysis and Applications, Apr 25, 2014

Research paper thumbnail of T-Reich Mapping in Topological Vector Space-Valued Cone Metric Spaces

The object of this paper is to establish some new fixed point results in topological vector space... more The object of this paper is to establish some new fixed point results in topological vector space-valued cone metric spaces, by proving the fixed point theorems for T-Reich and T-Kannan contraction mappings in topological vector space-valued cone metric spaces.

Research paper thumbnail of Fixed Point Theorems in Cone Metric Spaces by Altering Distances

In this paper we establish some Fixed Point theorems by altering distances in a complete cone met... more In this paper we establish some Fixed Point theorems by altering distances in a complete cone metric space with assumption that the cone is normal, also we introduce MS-Altering function. All the results in this paper are new.

Research paper thumbnail of Extension of Fixed Point Theorem for Non Expansive Gregus Type Mapping

In this paper, we establish the fixed point theorem for Gregus type mapping in complete metrizabl... more In this paper, we establish the fixed point theorem for Gregus type mapping in complete metrizable space with some additional conditions to the Olaleru and Akewe [2]. In addition we apply Mann iteration scheme and corrections to Olaleru and Akewe [2].

Research paper thumbnail of Cyclic Contractions in Θ-Complete Partial Cone Metric Spaces and Fixed Point Theorems

In this paper, we introduce the generalized cyclic contractions on θ-complete partial cone metric... more In this paper, we introduce the generalized cyclic contractions on θ-complete partial cone metric spaces and prove a fixed point result in such spaces without assuming the normality of cone. Our result generalizes some known re-sults from metric and cone metric spaces in θ-complete cone metric spaces. For illustration examples are provided.

Research paper thumbnail of Some Fixed Point Theorems for Ordered Reich Type Contractions in Cone Rectangular Metric Spaces

Acta Mathematica Universitatis Comenianae

In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rect... more In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rectangular metric spaces without assuming the normality of cone. Our results generalize and extend some recent results in cone rectangular metric spaces, cone metric spaces and rectangular metric space. Some examples illustrating the results are included.

Research paper thumbnail of Partial b-Metric Spaces and Fixed Point Theorems

Mediterranean Journal of Mathematics, 2014

Research paper thumbnail of Some Fixed Point Results in Θ-Complete Partial Cone Metric Spaces

In this paper, we introduce the notion of θ-Cauchy sequence and θ-complete-ness in the setting of... more In this paper, we introduce the notion of θ-Cauchy sequence and θ-complete-ness in the setting of partial cone metric spaces. Also, we consider Hardy-Rogers type mappings on partial cone metric spaces and prove some fixed point results without as-suming the normality of cone.

Research paper thumbnail of Some new fixed point results in partial ordered metric spaces via admissible mappings

Fixed Point Theory and Applications, 2014

Research paper thumbnail of A Generalization of Prešić Type Mappings in 0-Complete Ordered Partial Metric Spaces

Chinese Journal of Mathematics, 2013

Research paper thumbnail of A new approach to the study of fixed point theory for simulation functions

Research paper thumbnail of Set-Valued Prešić Type Contraction in Metric Spaces

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014

Research paper thumbnail of Fuzzy cyclic contraction and fixed point theorems

Journal of the Egyptian Mathematical Society, 2014

Research paper thumbnail of Fixed Points of α-Dominated Mappings on Dislocated Quasi Metric Spaces

We prove some common fixed point results for two α-dominated mappings satisfying some restricted ... more We prove some common fixed point results for two α-dominated mappings satisfying some restricted contractive conditions on a closed ball of a left (right) K-sequentially complete dislocated quasi metric space. Some examples are given to show the utility of our work. The results of this paper complement, extend and enrich several recent results in the literature.

Research paper thumbnail of Set-valued G-Prešić operators on metric spaces endowed with a graph and fixed point theorems

Fixed Point Theory and Applications, 2015

Research paper thumbnail of G-Prešić operators on metric spaces endowed with a graph and fixed point theorems

Fixed Point Theory and Applications, 2014

Research paper thumbnail of Prešić type results in 2-Banach spaces

Research paper thumbnail of A Generalized Banach Fixed Point Theorem

Bulletin of the Malaysian Mathematical Sciences Society, 2015

Research paper thumbnail of A Generalization of Prešić Type Mappings in Metric-Like Spaces

Research paper thumbnail of Reich Type Contractions on Cone Rectangular Metric Spaces Endowed with a Graph

Theory and Applications of Mathematics Computer Science, 2014

Research paper thumbnail of Presic-Boyd-Wong Type Results in Ordered Metric Spaces

International Journal of Analysis and Applications, Apr 25, 2014

Research paper thumbnail of T-Reich Mapping in Topological Vector Space-Valued Cone Metric Spaces

The object of this paper is to establish some new fixed point results in topological vector space... more The object of this paper is to establish some new fixed point results in topological vector space-valued cone metric spaces, by proving the fixed point theorems for T-Reich and T-Kannan contraction mappings in topological vector space-valued cone metric spaces.

Research paper thumbnail of Fixed Point Theorems in Cone Metric Spaces by Altering Distances

In this paper we establish some Fixed Point theorems by altering distances in a complete cone met... more In this paper we establish some Fixed Point theorems by altering distances in a complete cone metric space with assumption that the cone is normal, also we introduce MS-Altering function. All the results in this paper are new.

Research paper thumbnail of Extension of Fixed Point Theorem for Non Expansive Gregus Type Mapping

In this paper, we establish the fixed point theorem for Gregus type mapping in complete metrizabl... more In this paper, we establish the fixed point theorem for Gregus type mapping in complete metrizable space with some additional conditions to the Olaleru and Akewe [2]. In addition we apply Mann iteration scheme and corrections to Olaleru and Akewe [2].

Research paper thumbnail of Cyclic Contractions in Θ-Complete Partial Cone Metric Spaces and Fixed Point Theorems

In this paper, we introduce the generalized cyclic contractions on θ-complete partial cone metric... more In this paper, we introduce the generalized cyclic contractions on θ-complete partial cone metric spaces and prove a fixed point result in such spaces without assuming the normality of cone. Our result generalizes some known re-sults from metric and cone metric spaces in θ-complete cone metric spaces. For illustration examples are provided.

Research paper thumbnail of Some Fixed Point Theorems for Ordered Reich Type Contractions in Cone Rectangular Metric Spaces

Acta Mathematica Universitatis Comenianae

In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rect... more In this paper, we prove some fixed point theorems for ordered Reich type contraction in cone rectangular metric spaces without assuming the normality of cone. Our results generalize and extend some recent results in cone rectangular metric spaces, cone metric spaces and rectangular metric space. Some examples illustrating the results are included.

Research paper thumbnail of Partial b-Metric Spaces and Fixed Point Theorems

Mediterranean Journal of Mathematics, 2014

Research paper thumbnail of Some Fixed Point Results in Θ-Complete Partial Cone Metric Spaces

In this paper, we introduce the notion of θ-Cauchy sequence and θ-complete-ness in the setting of... more In this paper, we introduce the notion of θ-Cauchy sequence and θ-complete-ness in the setting of partial cone metric spaces. Also, we consider Hardy-Rogers type mappings on partial cone metric spaces and prove some fixed point results without as-suming the normality of cone.

Research paper thumbnail of Some new fixed point results in partial ordered metric spaces via admissible mappings

Fixed Point Theory and Applications, 2014

Research paper thumbnail of A Generalization of Prešić Type Mappings in 0-Complete Ordered Partial Metric Spaces

Chinese Journal of Mathematics, 2013

Research paper thumbnail of A new approach to the study of fixed point theory for simulation functions

Research paper thumbnail of Set-Valued Prešić Type Contraction in Metric Spaces

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014

Research paper thumbnail of Fuzzy cyclic contraction and fixed point theorems

Journal of the Egyptian Mathematical Society, 2014

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