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

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In this paper, we discuss a class of mappings more general than - nonexpansive mapping defined on a modular space endowed with a graph. In our investigation, we prove the… Click to show full abstract

In this paper, we discuss a class of mappings more general than - 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.

Keywords: fixed point; endowed graph; point; point theorems; class mappings

Journal Title: Abstract and Applied Analysis
Year Published: 2020

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