Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems

Rahul Shukla and Rekha Panicker

Abstract and Applied Analysis, 2023, vol. 2023, issue 1

Abstract: This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions. Moreover, we obtain convergence theorems concerning iterates of α‐Krasnosel’skiĭ mapping associated with the newly defined class of mappings. Further, we present that α‐Krasnosel’skiĭ mapping associated with b‐enriched quasinonexpansive mapping is asymptotically regular. Furthermore, some new convergence theorems concerning b‐enriched quasinonexpansive mappings have been proved.

Date: 2023
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https://doi.org/10.1155/2023/5572893

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2023:y:2023:i:1:n:5572893

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