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 Vector-valued metrics, fixed points and coupled fixed points for nonlinear operators

2013 ◽  
Vol 2013 (1) ◽  
pp. 218 ◽  
Author(s):  
Adrian Petruşel ◽  
Gabriela Petruşel ◽  
Cristina Urs
Keyword(s):  
Fixed Points ◽  
Nonlinear Operators ◽  
Vector Valued ◽  
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.

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 Existence of Strong Coupled Fixed Points for Cyclic Coupled Ciric-Type Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-4 ◽  
Author(s):  
Xavier Udo-utun
Keyword(s):  
Fixed Points ◽  
Short Communication ◽  
Coupled Fixed Points

In this short communication the concept of cyclic coupled Kannan-type contractions is generalized using a certain class of Ciric-type mappings.

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