An inertial method for solving systems of generalized mixed equilibrium and fixed point problems in reflexive Banach spaces

被引:0
作者
Abass, Hammed Anuoluwapo [1 ]
Aphane, Maggie [1 ]
Olayiwola, Morufu Oyedunsi [2 ]
机构
[1] Sefako Makgato Hlth Sci Univ, Dept Math & Appl Math, POB 94, ZA-0204 Pretoria, South Africa
[2] Osun State Univ, Fac Basic & Appl Sci, Dept Math Sci, Osogbo, Nigeria
关键词
Generalized mixed equilibrium problem; Bregman strongly nonexpansive mapping; iterative scheme; fixed point problem; SUBGRADIENT EXTRAGRADIENT METHOD; MAXIMAL MONOTONE-OPERATORS; STRONG-CONVERGENCE; APPROXIMATION; SCHEME;
D O I
10.1142/S1793557123502078
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Generalized mixed equilibrium problems, which includes the equilibrium and mixed equilibrium problem of monotone type mapping is considered in this paper with the fixed point of Bregman strongly nonexpansive mapping in the framework of real reflexive Banach space. We approximate the common solution of the system of generalized mixed equilibrium and fixed point problems for the finite family of Bregman strongly nonexpansive mappings using an inertial Halpern method. Using our iterative method, we prove a strong convergence result for solving the aforementioned problems. We also present some applications and numerical examples to demonstrate the performance of our iterative method. Our result improves and extends some important results presented by authors in the literature.
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页数:25
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