Journal article

Approximation of common fixed points of a sequence of commuting generalized nonexpansive mappings


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Author list: Gezahegn Anberber Tadesse, Mengistu Goa Sangago and Ronald Tshelametse

Publisher: SCIK Publishing Corporation

Publication year: 2024

Journal acronym: AFPT

Volume number: 14

Issue number: 19

Start page: 1

End page: 24

Number of pages: 24

ISSN: 1927-6303

URL: https://scik.org/index.php/afpt/article/view/8547



It is the purpose of this paper to discuss the generalizations of nonexpansive mappings. We prove additional properties of these generalizations, particularly focusing on a sequence of commuting mappings satisfying condition Bγ,µ. We propose iterative algorithms to approximate a common fixed point of a sequence of commuting mappings satisfying condition Bγ,µ. With some mild assumptions on parameters, the convergence of these algorithms to a common fixed point of a sequence of commuting mappings satisfying condition Bγ,µ is also proved. Our results extend and improve many recent results in the literature.

Keywords: nonexpansive mapping; condition Bγ,µ ; commuting mappings; fixed point.


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Last updated on 2024-14-08 at 13:49