A Self-Adaptive Method for Split Common Null Point Problems and Fixed Point Problems for Multivalued Bregman Quasi-Nonexpansive Mappings in Banach Spaces

被引：0

作者：

Jailoka, Pachara ^{[1
]}

Suantai, Suthep ^{[2
,3
]}

Sunthrayuth, Pongsakorn ^{[4
]}

机构：

[1] Univ Phayao, Sch Sci, Dept Math, Phayao 56000, Thailand

[2] Chiang Mai Univ, Fac Sci, Res Ctr Math & Appl Math, Dept Math, Chiang Mai 50200, Thailand

[3] Chiang Mai Univ, Fac Sci, Data Sci Res Ctr, Dept Math, Chiang Mai 50200, Thailand

[4] Rajamangala Univ Technol Thanyaburi RMUTT, Fac Sci & Technol, Dept Math & Comp Sci, 39 Rangsit Nakhonnayok Rd,Klong 6, Thanyaburi 12110, Pathumthani, Thailand

来源：

FILOMAT | 2022年 / 36卷 / 10期

关键词：

Resolvent operators; Banach spaces; strong convergence; fixed point problems; SHRINKING PROJECTION METHOD; ITERATIVE ALGORITHMS; FEASIBILITY PROBLEMS; STRONG-CONVERGENCE; INEQUALITIES; THEOREMS; SETS;

D O I：

10.2298/FIL2210279J

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a self-adaptive algorithm for solving the split common null point problem and the fixed point problem for multivalued Bregman quasi-nonexpansive mappings in Banach spaces. We prove that the sequence generated by our iterative scheme converges strongly to a common solution of the above-mentioned problems under some suitable conditions. We also apply our main result to split feasibility problems in Banach spaces. Finally, numerical examples are given to support our main theorem. The results presented in this paper improve and extend many recent results in the literature.

引用

页码：3279 / 3300

页数：22

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