A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive Mappings

被引：0
作者：
Prasit Cholamjiak
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2009卷
关键词：
Equilibrium Problem; Monotone Mapping; Nonexpansive Mapping; Lipschitz Mapping; Maximal Monotone;
D O I：
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学科分类号：
摘要：
We proposed in this paper a new iterative scheme for finding common elements of the set of fixed points of a finite family of quasi-nonexpansive mappings, the set of solutions of variational inclusion, and the set of solutions of generalized equilibrium problems. Some strong convergence results were derived by using the concept of [inline-graphic not available: see fulltext]-mappings for a finite family of quasi-nonexpansive mappings. Strong convergence results are derived under suitable conditions in Hilbert spaces.
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