Some fixed point results for enriched nonexpansive type mappings in Banach spaces

Rahul Shukla; Rajendra Pant

doi:10.4995/agt.2022.16165

Some fixed point results for enriched nonexpansive type mappings in Banach spaces

Rahul Shukla, Rajendra Pant

University of Johannesburg

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we introduce two new classes of nonlinear mappings and present some new existence and convergence theorems for these mappings in Banach spaces. More precisely, we employ the Krasnosel’skiĭ iterative method to obtain fixed points of Suzuki-enriched nonexpansive mappings under different conditions. Moreover, we approximate the fixed point of enriched-quasinonexpansive mappings via Ishikawa iterative method.

Original language	English
Pages (from-to)	31-43
Number of pages	13
Journal	Applied General Topology
Volume	23
Issue number	1
DOIs	https://doi.org/10.4995/agt.2022.16165
Publication status	Published - 1 Apr 2022
Externally published	Yes

Keywords

Banach space
enriched nonexpansive mapping
nonexpansive mapping

ASJC Scopus subject areas

Geometry and Topology

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Some fixed point results for enriched nonexpansive type mappings in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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