A SELF-ADAPTIVE VISCOSITY ALGORITHM FOR SPLIT FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS IN BANACH SPACES

被引：0

作者：

Asghar, Muhammad Waseem ^{[1
]}

Abbas, Mujahid ^{[1
,2
]}

机构：

[1] Govt Coll Univ, Dept Math, Katchery Rd, Lahore 54000, Pakistan

[2] China Med Univ, Depatrment Med Res, Taichung 404, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 02期

关键词：

Viscosity approximation; fixed point problem; variational inequality problem; null point problem; generalized nonexpansive mapping; NONEXPANSIVE-MAPPINGS; APPROXIMATION METHODS; CONVERGENCE THEOREMS; WEAK;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new self-adaptive viscosity type algorithm for gener-alized nonexpansive type mappings is introduced to solve the split common fixed point, variational inequality, split common null point, optimization and hierar-chical variational inequality problems. It is shown that the sequence generated by proposed algorithm is strongly convergent to a solution of split common fixed point problem under appropriate conditions and this solution is identified to be the unique solution of a variational inequality problem. A numerical example is presented to illustrate the strength of the proposed approach. The results presented herein improve and generalize various results in the existing literature.

引用

页码：341 / 361

页数：21

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