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Fixed point theory for nonlinear mappings in Banach spaces and applications

Author(s)
Kangtunyakarn, Atid
Date Issued
January 1, 2014
Type
Article
DOI
10.1186/1687-1812-2014-108
Abstract
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. © 2014 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2014, 2014
Subjects

2-uniformly smooth

Inverse-strongly mono...

Nonexpansive mapping

Strictly pseudo-contr...

Uniformly convex

Variational inequalit...

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