Solutions of Split Equality Hammerstein Type Equation Problems in Reflexive Real Banach Spaces

被引：3
作者：
Belay, Yirga Abebe [1 ]
Zegeye, Habtu [1 ]
Boikanyo, Oganeditse A. [1 ]
机构：
[1] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Palapye, Botswana
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2023年 / 39卷 / 01期
关键词：
Bregman distance; Hammerstein type equations; Maximal monotone mapping; Reflexive Banach spaces; Strong convergence; Uniform continuity; NONLINEAR INTEGRAL-EQUATIONS; APPROXIMATING SOLUTIONS; MONOTONE-OPERATORS; ALGORITHM;
D O I：
10.37193/CJM.2023.01.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this study is to introduce an inertial algorithm for approximating a solution of the split equality Hammerstein type equation problem in general reflexive real Banach spaces. Strong conver-gence results are established under the assumption that the associated mappings are monotone and uniformly continuous. The results in this paper generalize and improve many of the existing results in the literature in the sense that the underlying mappings are relaxed from Lipschitz continuous to uniformly continuous and the spaces under consideration are extended from Hilbert spaces to reflexive real Banach spaces with a more general problem which includes the Hammerstein type equation problems.
引用
收藏
页码：45 / 72
页数：28
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