scholarly journals A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Pushpendra Semwal ◽  
Ramesh Chandra Dimri
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Multivalued Mapping ◽  
Functional Equations ◽  
Complete Metric Space ◽  
Coupled Fixed Point ◽  
Generalized Contraction ◽  
Coupled Fixed Point Theorem ◽  
Contraction Condition

We obtain a new Suzuki type coupled fixed point theorem for a multivalued mappingTfromX×XintoCB(X), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.

scholarly journals Types of Fixed Points of Set-Valued Contraction Mappings for Comparable Elements

2020 ◽  
pp. 190-195
Author(s):  
Shaimia Qais Latif ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Ordered Metric Spaces ◽  
Contraction Mappings ◽  
Coupled Fixed Point Theorem ◽  
Contraction Condition

This paper is concerned with the study of the fixed points of set-valued contractions on ordered metric spaces. The first part of the paper deals with the existence of fixed points for these mappings where the contraction condition is assumed for comparable variables. A coupled fixed point theorem is also established in the second part.

scholarly journals A New Coupled Fixed Point Result in Extended Metric Spaces with an Application to Study the Stability of Set-Valued Functional Equations

2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Ahmed H. Soliman ◽  
A. M. Zidan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Functional Equations ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Metric Space ◽  
Coupled Fixed Point Theorem ◽  
The Stability

In this paper, we introduce a new coupled fixed point theorem in a generalized metric space and utilize the same to study the stability for a system of set-valued functional equations.

New α-coupled fixed point theorem for 𝜃-contraction and its application to a class of systems of functional equations arising in dynamic programming

2018 ◽  
Vol 13 (03) ◽  
pp. 2050063
Author(s):  
P. Dhivya ◽  
M. Marudai
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Coupled Fixed Point ◽  
Uniqueness Of Solutions ◽  
Coupled Fixed Point Theorem ◽  
Bounded Functions

We introduce [Formula: see text]-coupled fixed point for [Formula: see text]-contractions in the space of bounded functions on a set [Formula: see text]. As an application of our result, we prove the existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.

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