Fixed Point Theorems for a Demicontractive Mapping and Equilibrium Problems in Hilbert Spaces

被引：1

作者：

Khuangsatung, Wongvisarut ^{[1
]}

Suwannaut, Sarawut ^{[2
]}

机构：

[1] Rajamangala Univ Technol Thanyaburi, Fac Sci & Technol, Dept Math & Comp Sci, Pathum Thani 12110, Thailand

[2] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang 50100, Thailand

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2020年 / 11卷 / 02期

关键词：

The combination of equilibrium problem; Fixed point; Demicontractive mapping; CONVERGENCE;

D O I：

10.26713/cma.v11i2.1237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this research, we introduce some properties of demicontractive mapping and the combination of equilibrium problem. Then, we prove a strong convergence for the iterative sequence converging to a common element of fixed point set of demicontractive mapping and a common solution of equilibrium problems. Finally, we give a numerical example for the main theorem to support our results.

引用

页码：181 / 198

页数：18

共 17 条

[1]

Blum E., 1994, MATH STUDENT, V63, P123

[2] A hybrid iterative method for a combination of equilibria problem, a combination of variational inequality problems and a hierarchical fixed point problem [J].