scholarly journals Urysohn integral equations approach by common fixed points in complex-valued metric spaces

2013 ◽  
Vol 2013 (1) ◽  
pp. 49 ◽  
Author(s):  
Wutiphol Sintunavarat ◽  
Yeol Cho ◽  
Poom Kumam
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Urysohn Integral Equations ◽  
Complex Valued

scholarly journals Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result

2017 ◽  
Vol 10 (07) ◽  
pp. 3381-3396 ◽  
Author(s):  
Wasfi Shatanawi ◽  
Mohd Salmi MD Norani ◽  
Jamshaid Ahmad ◽  
Habes Alsamir ◽  
Marwan Amin Kutbi
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Homotopy Result ◽  
Complex Valued

scholarly journals FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION

2021 ◽  
pp. 237
Author(s):  
Rashwan A. Rashwan ◽  
Hasanen A. Hammad ◽  
Liliana Guran
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Unique Solution ◽  
Integral Equations ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Urysohn Integral Equations ◽  
Complex Valued

In this paper, we introduce fixed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition areobtained. As an application, we find a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.

scholarly journals Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces

2015 ◽  
Vol 23 (2) ◽  
pp. 179-185
Author(s):  
Hemant Kumar Nashine ◽  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Generalized Contraction ◽  
Rational Expressions ◽  
Complex Valued ◽  
Common Fixed Point Theorems

Abstract The purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.

Some Common Fixed Points of Generalized Contractive Mappings on Complex Valued Metric Spaces

2017 ◽  
Vol 5 (1) ◽  
pp. 73-80 ◽  
Author(s):  
Sami Ullah Khan ◽  
Muhammad Arshad ◽  
Hemant Kumar Nashine ◽  
Muhammad Nazam
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Mappings ◽  
Complex Valued

scholarly journals Analytical Solution of Urysohn Integral Equations by Fixed Point Technique in Complex Valued Metric Spaces

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 852 ◽  
Author(s):  
Hasanen A. Hammad ◽  
Manuel De la Sen
Keyword(s):  
Fixed Point ◽  
Analytical Solution ◽  
Unique Solution ◽  
Integral Equations ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Fixed Point Result ◽  
Urysohn Integral Equations ◽  
Fixed Point Technique ◽  
Complex Valued

The purpose of this article is to introduce a fixed point result for a general contractive condition in the context of complex valued metric spaces. Also, some important corollaries under this contractive condition are obtained. As an application, we find a unique solution for Urysohn integral equations, and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. Previous known related results in the literarure and some other known results in the literature.

scholarly journals Generalized Common Fixed Point Results with Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Marwan Amin Kutbi ◽  
Muhammad Arshad ◽  
Jamshaid Ahmad ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Existence Theorem ◽  
Integral Equations ◽  
Metric Spaces ◽  
Common Solution ◽  
Urysohn Integral Equations ◽  
The Common ◽  
Complex Valued

We obtained some generalized common fixed point results in the context of complex valued metric spaces. Moreover, we proved an existence theorem for the common solution for two Urysohn integral equations. Examples are presented to support our results.

scholarly journals Common Fixed Point Results for a Pair of Multivalued Mappings in Complex-Valued b-Metric Spaces

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Olawale Kazeem Oyewole ◽  
Kazeem Olalekan Aremu ◽  
Lateef Olakunle Jolaoso
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Liouville Equation ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Multivalued Mappings ◽  
Contractive Condition ◽  
Contractive Mappings ◽  
Complex Valued Metric Space ◽  
Complex Valued

Several fixed point results for the existence of common fixed points of multivalued contractive mappings have been established in complex-valued metric space. In this paper, we study the existence of common fixed points for a pair of multivalued contractive mappings satisfying some rational inequalities in the framework of complex-valued b-metric spaces. The contractive condition used in this paper generalizes many contractive conditions used by other authors in the literature. Employing our results, we check the existence solution to the Riemann-Liouville equation.

scholarly journals Some Results on N-Tupled Coincidence and Fixed Points of Graphs on Metric Spaces and an Application to Integral Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Ahmed H. Soliman ◽  
Tamer Nabil
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Uniqueness Of Solutions ◽  
Systems Of Integral Equations ◽  
Theoretical Results

In this work, we establish some N-tupled common coincidence and N-tupled common fixed points for the mappings satisfying a (φ-ψ)-type contractive condition in a complete metric space endowed with a directed graph (for short digraph). Also, we apply our theoretical results to study the existence and uniqueness of solutions for systems of integral equations.

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