Hybrid iterative method for systems of generalized equilibria with constraints of variational inclusion and fixed point problems

被引：0
|
作者：
Abdul Latif
Abdullah E Al-Mazrooei
Abdulaziz SM Alofi
Jen-Chih Yao
机构：
[1] King Abdulaziz University,Department of Mathematics
[2] Kaohsiung Medical University,Center for Fundamental Science
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
system of generalized equilibrium problems; generalized mixed equilibrium; variational inclusion; nonexpansive mapping; asymptotically strict pseudocontractive mapping in the intermediate sense; maximal monotone mapping;
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摘要：
In this paper, we introduce and analyze an iterative algorithm by the hybrid iterative method for finding a solution of the system of generalized equilibrium problems with constraints of several problems: a generalized mixed equilibrium problem, finitely many variational inclusions, and the common fixed point problem of an asymptotically strict pseudocontractive mapping in the intermediate sense and infinitely many nonexpansive mappings in a real Hilbert space. Weak convergence result under mild assumptions will be established.
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