ON SOLVING THE VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES

被引：0

作者：

Witthayarat, Uamporn ^{[1
]}

Jaiboon, Chaichana ^{[2
]}

Plubtieng, Somyot ^{[3
]}

Katchang, Phayap ^{[4
]}

机构：

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

[2] Rajamangala Univ Technol Rattanakosin, Fac Liberal Arts, Dept Math, Nakhon Pathom 73170, Thailand

[3] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

[4] Rajamangala Univ Technol Lanna Tak, Fac Sci & Agr Technol, Div Math, Tak 63000, Thailand

来源：

FIXED POINT THEORY | 2019年 / 20卷 / 01期

关键词：

Banach space; fixed point; inverse-strongly accretive mapping; nonexpansive semigroup; q-uniformly smooth; variational inequality; NONLINEAR ERGODIC THEOREM; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; REVERSIBLE SEMIGROUP; ACCRETIVE-OPERATORS; GENERALIZED SYSTEM; APPROXIMATION;

D O I：

10.24193/fpt-ro.2019.1.24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research, we focus on two main problems, the first one is a fixed point problem of a nonexpansive semigroup and the other is a variational inequality problem for an inverse strongly accretive mapping. Passing through the modified Mann iterative method, we propose the new iterative scheme to find the common elements solving our mentioned problems. Furthermore, we aim to obtain some strong convergence theorems under certain appropriate conditions in the q-uniformly smooth Banach spaces. Our results improve and extend resulting outcomes in the literature.

引用

页码：365 / 387

页数：23

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