Convergence results for the zero-finding problem and fixed points of nonexpansive semigroups and strict pseudocontractions

Fixexd point theory and applications

Prasit Cholamjiak¹ 

[1] School of Science, University of Phayao, Phayao, Thailand

关键词: fixed point;    maximal monotone operator;    left regular;    strict pseudocontraction;    nonexpansive semigroup;   

DOI  :  10.1186/1687-1812-2012-129

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we establish strong convergence theorems for solving the fixed point problem of nonexpansive semigroups and strict pseudocontractions, and the zero-finding problem of maximal monotone operators in a Hilbert space. We further apply our result to the convex minimization problem and commutative semigroups. MSC:47H09, 47H10.

【 授权许可】

CC BY