Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces

Rahul Shukla; Rajendra Pant

doi:10.31197/atnaa.954446

Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces

Rahul Shukla, Rajendra Pant

University of Johannesburg

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

5 Citations (Scopus)

Abstract

We study monotone enriched nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Kras-nosel'ski¨ iterative method to approximate fixed points of enriched nonexpansive under diffierent conditions. This way a number of results from the literature have been extended, generalized and complemented.

Original language	English
Pages (from-to)	559-567
Number of pages	9
Journal	Advances in the Theory of Nonlinear Analysis and its Applications
Volume	5
Issue number	4
DOIs	https://doi.org/10.31197/atnaa.954446
Publication status	Published - 2021
Externally published	Yes

Keywords

Banach space
Enriched nonexpansive mapping
Nonexpansive mapping

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.31197/atnaa.954446

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AB - We study monotone enriched nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. More precisely, we employ the Kras-nosel'ski¨ iterative method to approximate fixed points of enriched nonexpansive under diffierent conditions. This way a number of results from the literature have been extended, generalized and complemented.

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KW - Enriched nonexpansive mapping

KW - Nonexpansive mapping

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M3 - Article

AN - SCOPUS:85122507612

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JO - Advances in the Theory of Nonlinear Analysis and its Applications

JF - Advances in the Theory of Nonlinear Analysis and its Applications

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ER -

Some new fixed point results for monotone enriched nonexpansive mappings in ordered Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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