CONVERGENCE THEOREM FOR GENERALIZED MIXED EQUILIBRIUM PROBLEM AND COMMON FIXED POINT PROBLEM FOR A FAMILY OF MULTIVALUED MAPPINGS

被引：0

作者：

Ezeora, J. N. ^{[1
]}

机构：

[1] Ebonyi State Univ, Dept Ind Math & Stat, Abakaliki, Nigeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2016年 / 10卷 / 01期

关键词：

equilibrium problem; strict pseudo-contractive mappings; multivalued mappings; Hausdorff metric;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new hybrid iterative algorithm is constructed using the shrinking projection method introduced by Takahashi. The sequence of the algorithm is proved to converge strongly to a common element of the set of solutions of generalized mixed equilibrium problem and the set of common fixed points of a finite family of multivalued strictly pseudocontractive mappings in real Hilbert spaces. Furthermore, we apply our main result to convex minimization problem.

引用

页码：48 / 57

页数：10

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