Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems

被引：3

作者：

Eslamian, M. ^{[1
]}

Saadati, R. ^{[2
]}

Vahidi, J. ^{[2
]}

机构：

[1] Univ Sci & Technol Mazandaran, Dept Math, Behshahr, Iran

[2] Iran Univ Sci & Technol, Dept Appl Math, Tehran, Iran

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2017年 / 36卷 / 03期

关键词：

Demicontractive mapping; Equilibrium problem; Fixed point; Generalized nonexpansive multivalued mapping; FIXED-POINT PROBLEMS; GENERALIZED NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE THEOREMS; APPROXIMATION METHODS; WEAK; MANN;

D O I：

10.1007/s40314-015-0292-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a general iterative scheme based on the viscosity approximation method for finding a common element of the set of solutions of the equilibrium problem and the set of all fixed points of a demicontractive mapping and a generalized nonexpansive multivalued mapping. Then, we prove the strong convergence of the iterative scheme to find a unique solution of the variational inequality which is the optimality condition for the minimization problem. The main results presented in this paper extend various results existing in the current literature.

引用

页码：1239 / 1253

页数：15

共 38 条

[1]

Abkar A, 2013, B IRAN MATH SOC, V39, P993

[2] Fixed point and convergence theorems for different classes of generalized nonexpansive mappings in CAT(0) spaces [J].