Journal article

ISHIKAWA ITERATION CONVERGENCE TO FIXED POINTS OF A MULTI-VALUED MAPPING IN MODULAR FUNCTION SPACES


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Subtitle: FIXED POINTS OF A MULTI-VALUED MAPPING

Author list: WONDIMU WOLDIE KASSU AND MENGISTU GOA SANGAGO

Publisher: SCIK Publishing Corporation

Publication year: 2024

Journal acronym: AFPT

Volume number: 14

Issue number: 2024

Start page: 1

End page: 14

Number of pages: 14

ISSN: 1927-6303

URL: https://scik.org/index.php/afpt/article/view/8568



We prove the ρ−convergence of Ishikawa iterative algorithm to fixed points of a multi-valued mapping T : C → Pρ (C), where C is a nonempty ρ−bounded ρ−closed subset of Lρ , ρ is a convex function modular satisfying ∆2−type condition, and Pρ (C) is the family of nonempty ρ-bounded ρ-proximinal subsets of C, such that the mapping PT is ρ-nonexpansive. This is the modular version of approximating fixed points of multi-valued nonexpansive mapping in Banach spaces by Ishikawa iterative algorithm and it generalizes some results in the literature.


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Last updated on 2024-21-11 at 15:43