Geodesic
Mixed equilibrium and fixed point problems for a countable family of multi-valued Bregman quasi-nonexpansive mappings in reflexive Banach space
Novi Sad Journal of Mathematics, Tome 53 (2023) no. 1.

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In this paper, we introduce a new iterative algorithm with Bregman distance approach for approximating a common solution of a finite family of Mixed Equilibrium Problem (MEP) with a relaxed monotone mapping and a countable family of Bregman multi-valued quasi-nonexpansive mappings in a reflexive Banach space. Under standard and mild assumption of relaxed monotonicity of the MEP associated mapping, we establish the strong convergence of the iterative sequence. A numerical example is presented to illustrate the performance of our method. The results obtained in this work extend and complement many related results in literature.
Publié le :
DOI : 10.30755/NSJOM.11064
Classification : 47H06, 47H09, 47J05, 47J25
Keywords: equilibrium problem, Bregman quasi-nonexpansive, monotone operators, iterative scheme, fixed point problem. 
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     author = {Hammed Anuoluwapo Abass and Chinedu Izuchukwu and Oluwatosin Temitope Mewomo and Grace Nnennaya  Ogwo and Olawale Kazeem Oyewole},
     title = {Mixed equilibrium and fixed point problems for a countable family of multi-valued {Bregman} quasi-nonexpansive mappings in reflexive  {Banach} space},
     journal = {Novi Sad Journal of Mathematics},
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Hammed Anuoluwapo Abass; Chinedu Izuchukwu; Oluwatosin Temitope Mewomo; Grace Nnennaya  Ogwo; Olawale Kazeem Oyewole. Mixed equilibrium and fixed point problems for a countable family of multi-valued Bregman quasi-nonexpansive mappings in reflexive  Banach space. Novi Sad Journal of Mathematics, Tome 53 (2023) no. 1. doi : 10.30755/NSJOM.11064. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11064/

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