Fixed Point Theorems for a New Class of Mappings in Modular Spaces Endowed with a Graph

Nour-eddine El Harmouchi, Karim Chaira and El Miloudi Marhrani

Abstract and Applied Analysis, 2020, vol. 2020, issue 1

Abstract: In this paper, we discuss a class of mappings more general than ρ‐nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the existence of fixed point results of these mappings. Then, we also introduce an iterative scheme for which proves the convergence to a fixed point of such mapping in a modular space with a graph.

Date: 2020
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https://doi.org/10.1155/2020/3793606

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2020:y:2020:i:1:n:3793606

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