Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 30, Issue 9, Pages 1105-1112Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-009-0904-6
Keywords
small generalized mixed equilibrium problem; variational inequality; quasi-phi-nonexpansive mapping; maximal monotone operator; monotone mapping
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Funding
- Natural Science Foundation of Yibin University [2009Z003]
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This paper uses a hybrid algorithm to find a common element of the set of solutions to a generalized mixed equilibrium problem, the set of solutions to variational inequality problems, and the set of common fixed points for a finite family of quasi-I center dot-nonexpansive mappings in a uniformly smooth and strictly convex Banach space. As applications, we utilize our results to study the optimization problem. It shows that our results improve and extend the corresponding results announced by many others recently.
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