Fixed point theory for nonlinear mappings in Banach spaces and applications

被引：0
|
作者：
Atid Kangtunyakarn
机构：
[1] King Mongkut’s Institute of Technology Ladkrabang,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
nonexpansive mapping; strictly pseudo-contractive mapping; inverse-strongly monotone; variational inequality problems; uniformly convex; 2-uniformly smooth;
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摘要：
The purpose of this research is to study a finite family of the set of solutions of variational inequality problems and to prove a convergence theorem for the set of such problems and the sets of fixed points of nonexpansive and strictly pseudo-contractive mappings in a uniformly convex and 2-uniformly smooth Banach space. We also prove a fixed point theorem for finite families of nonexpansive and strictly pseudo-contractive mappings in the last section.
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