Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using C- class function with some consequences and an application

2020 ◽  
Author(s):  
Binayak S. Choudhury ◽  
Nikhilesh Metiya ◽  
Sunirmal Kundu
Keyword(s):  
Fixed Points ◽  
Well Posedness ◽  
Class Function ◽  
Coupled Fixed Points

scholarly journals Existence, well-posedness of coupled fixed points and application to nonlinear integral equations

Cubo (Temuco) ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 171-190
Author(s):  
Binayak S. Choudhury ◽  
Nikhilesh Metiya ◽  
Sunirmal Kundu
Keyword(s):  
Fixed Points ◽  
Integral Equations ◽  
Well Posedness ◽  
Nonlinear Integral Equations ◽  
Coupled Fixed Points

scholarly journals Solution of Some Impulsive Differential Equations via Coupled Fixed Point

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 501
Author(s):  
Ahmed Boudaoui ◽  
Khadidja Mebarki ◽  
Wasfi Shatanawi ◽  
Kamaleldin Abodayeh
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
System Of Differential Equations ◽  
Coupled Fixed Points

In this article, we employ the notion of coupled fixed points on a complete b-metric space endowed with a graph to give sufficient conditions to guarantee a solution of system of differential equations with impulse effects. We derive recisely some new coupled fixed point theorems under some conditions and then apply our results to achieve our goal.

scholarly journals Applications of Coupled Fixed Points for Multivalued Maps in the Equilibrium in Duopoly Markets and in Aquatic Ecosystems

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 44
Author(s):  
Gana Gecheva ◽  
Miroslav Hristov ◽  
Diana Nedelcheva ◽  
Margarita Ruseva ◽  
Boyan Zlatanov
Keyword(s):  
Fixed Points ◽  
Aquatic Ecosystems ◽  
Market Equilibrium ◽  
Multivalued Maps ◽  
New Class ◽  
Wide Range ◽  
Coupled Fixed Points ◽  
Ordered Pairs ◽  
Duopoly Markets

We have obtained a new class of ordered pairs of multivalued maps that have pairs of coupled fixed points. We illustrate the main result with two examples that cover a wide range of models. We apply the main result in models in duopoly markets to get a market equilibrium and in aquatic ecosystems, also to get an equilibrium.

Coupled fixed points of nonlinear operators with applications

1987 ◽  
Vol 11 (5) ◽  
pp. 623-632 ◽  
Author(s):  
Dajun Guo ◽  
V. Lakshmikantham
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators ◽  
Coupled Fixed Points

scholarly journals Partial Coupled Fixed Points and Coupled Fixed Points

2016 ◽  
Vol 1 (3) ◽  
Author(s):  
Marta Demma ◽  
◽  
Peyman Salimi ◽  
Pasquale Vetro ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Coupled Fixed Points

scholarly journals Coupled fixed points of monotone mappings in a metric space with a graph

2018 ◽  
Vol 19 (1) ◽  
pp. 33-44
Author(s):  
Monther Rashed Alfuraidan ◽  
◽  
Mohamed Amine Khamsi ◽  
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Monotone Mappings ◽  
Coupled Fixed Points

scholarly journals Several Fixed-Point Theorems for F -Contractions in Complete Branciari b -Metric Spaces and Applications

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Lili Chen ◽  
Shuai Huang ◽  
Chaobo Li ◽  
Yanfeng Zhao
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Related Result ◽  
Fixed Point Problem ◽  
Common Fixed Points ◽  
Point Problem ◽  
Well Posedness ◽  
Uniqueness Of Solutions

In this paper, we prove the existence and uniqueness of fixed points for F -contractions in complete Branciari b -metric spaces. Furthermore, an example for supporting the related result is shown. We also present the concept of the weak well-posedness of the fixed-point problem of the mapping T and discuss the weak well-posedness of the fixed-point problem of an F -contraction in complete Branciari b -metric spaces. Besides, we investigate the problem of common fixed points for F -contractions in above spaces. As an application, we apply our main results to solving the existence and uniqueness of solutions for a class of the integral equation and the dynamic programming problem, respectively.

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