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.
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页码：48 / 57
页数：10
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