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A hybrid algorithm for finite equilibrium problems and finite variational inequality problems and fixed point problems for twofamilies of quasi-$phi$-asymptotically nonexpansive mappings inBanach spaces
Shaotao Hu 1,ang Cai 2
1. College of Mathematics and Statistics, Chongqing University, Chongqing 400044,China
2.College of Mathematics Science, Chongqing Normal University, Chongqing 401331, China %ffil{2} Department of Mathematical Sciences, Tsinghua University, Beijing City, 100084
*Correspondence author
#Submitted by
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Funding: Supported by the Specialized Research Fund for the Doctoral Program of Higher Education(No.200800030059)
Opened online:14 January 2015
Accepted by: none
Citation: Shaotao Hu ,ang Cai.A hybrid algorithm for finite equilibrium problems and finite variational inequality problems and fixed point problems for twofamilies of quasi-$phi$-asymptotically nonexpansive mappings inBanach spaces[OL]. [14 January 2015] http://en.paper.edu.cn/en_releasepaper/content/4627152
 
 
The purpose of this article is to introduce a new hybrid projectionalgorithm for finding a common element of the set of two families ofquasi-$phi$-asymptotically nonexpansive mappings and the set ofsolutions of finite equilibrium problems and the set of solutions offinite variational inequalities for inverse strong monotoneoperators in the framework of uniformly smooth and $2$-uniformlyconvex Banach spaces. The results obtained in this paper improve andextend the corresponding results announced by many others.
Keywords:Strong convergence; Variationalinequality; Fixed point; Quasi-$phi$-asymptoticallynonexpansive mapping; Equilibrium problem.
 
 
 

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