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A Coupled Random Fixed Point Result With Application in Polish Spaces

A coupled random fixed point result with application in Polish spaces
Authors: Rashwan, Rashwan Ahmed; Hammad, Hasanen Abuel-Magd;

A Coupled Random Fixed Point Result With Application in Polish Spaces

Abstract

Summary: In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.

Related Organizations
Keywords

Polish space, Fixed-point and coincidence theorems (topological aspects), Random nonlinear integral equations, coupled random fixed point, Nonlinear functional analysis, Fixed-point theorems, QA1-939, \(\varphi\)-contraction, $varphi $-contraction, Coupled random fixed point, random nonlinear integral equations, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average