Fixed point theory for nonlinear mappings in Banach spaces and applications

Fixexd point theory and applications

Atid Kangtunyakarn¹ 

[1] Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

关键词: nonexpansive mapping;    strictly pseudo-contractive mapping;    inverse-strongly monotone;    variational inequality problems;    uniformly convex;    2-uniformly smooth;   

DOI  :  10.1186/1687-1812-2014-108

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY