Iterative algorithm for solving mixed equilibrium problems and demigeneralized mappings

Bashir Ali; Mohammed Suleman Lawan; Godwin C. Ugwunnadi

doi:10.30755/NSJOM.12501

Iterative algorithm for solving mixed equilibrium problems and demigeneralized mappings

Bashir Ali, Mohammed Suleman Lawan, Godwin C. Ugwunnadi^*

^*Corresponding author for this work

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

Abstract

The purpose of this paper is to study a new iterative algorithm for finding a common element in the set of solutions of mixed equilibrium problem and common fixed point of finite family of Bregman demigeneralized mappings. We prove a strong convergence theorem of the sequences generated by the algorithm in a reflexive Banach space. Our result complement, extend and improve important recent results announced by many authors.

Original language	English
Pages (from-to)	75-96
Number of pages	22
Journal	Novi Sad Journal of Mathematics
Volume	53
Issue number	1
DOIs	https://doi.org/10.30755/NSJOM.12501
Publication status	Published - 2023
Externally published	Yes

Keywords

Banach space
Bregman demigeneralized map
Bregman distance
fixed point
monotone map

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10.30755/NSJOM.12501

Cite this

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abstract = "The purpose of this paper is to study a new iterative algorithm for finding a common element in the set of solutions of mixed equilibrium problem and common fixed point of finite family of Bregman demigeneralized mappings. We prove a strong convergence theorem of the sequences generated by the algorithm in a reflexive Banach space. Our result complement, extend and improve important recent results announced by many authors.",

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AB - The purpose of this paper is to study a new iterative algorithm for finding a common element in the set of solutions of mixed equilibrium problem and common fixed point of finite family of Bregman demigeneralized mappings. We prove a strong convergence theorem of the sequences generated by the algorithm in a reflexive Banach space. Our result complement, extend and improve important recent results announced by many authors.

KW - Banach space

KW - Bregman demigeneralized map

KW - Bregman distance

KW - fixed point

KW - monotone map

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Iterative algorithm for solving mixed equilibrium problems and demigeneralized mappings

Abstract

Keywords

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