Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems

被引：17
|
作者：
Eslamian, Mohammad [1 ]
机构：
[1] Islamic Azad Univ, Babol Branch, Babol Sar, Iran
来源：
OPTIMIZATION LETTERS | 2013年 / 7卷 / 03期
关键词：
Equilibrium problem; Nonspreading mapping; Nonexpansive multivalued mapping; Common fixed point; FIXED-POINT PROBLEMS; ITERATIVE SCHEME; WEAK; APPROXIMATION;
D O I：
10.1007/s11590-011-0438-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we introduce some new iterative sequences for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of nonspreading mappings and a finite family of nonexpansive multivalued mappings in Hilbert space. We establish some weak and strong convergence theorems of the sequences generated by our iterative process. The results obtained in this paper extend and improve some recent known results.
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页码：547 / 557
页数：11
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