Convergence Theorems of Multi-Valued Generalized Nonexpansive Mappings in Banach Spaces

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W75JR

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Convergence Theorems of Multi-Valued Generalized Nonexpansive Mappings in Banach Spaces

Seyit Temir
Seyit Temir Adıyaman University
DOI

Abstract

In this paper, we study multi-valued generalized nonexpansive mappings in uniformly convex Banach spaces. We introduce multi-valued version of the iterative scheme presented in [4] and prove some weak and strong convergence results in uniformly convex Banach space. Further, we present an illustrative numerical example of approximating fixed point of multi-valued generalized nonexpansive mappings satisfying condition (E ) considering multivalued version of the iterative scheme presented in [4].

Convergence Theorems of Multi-Valued Generalized Nonexpansive Mappings in Banach Spaces

In this paper, we study multi-valued generalized nonexpansive mappings in uniformly convex Banach spaces. We introduce multi-valued version of the iterative scheme presented in [4] and prove some weak and strong convergence results in uniformly convex Banach space. Further, we present an illustrative numerical example of approximating fixed point of multi-valued generalized nonexpansive mappings satisfying condition (E ) considering multivalued version of the iterative scheme presented in [4].

Seyit Temir
Seyit Temir Adıyaman University

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Seyit Temir. 2026. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 23 (GJSFR Volume 23 Issue F1): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Issue Cover
GJSFR Volume 23 Issue F1
Pg. 35- 45
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GJSFR-F Classification: 47H010; 54H25
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Convergence Theorems of Multi-Valued Generalized Nonexpansive Mappings in Banach Spaces

Seyit Temir
Seyit Temir Adıyaman University

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