Strong convergence of a hybrid projection iterative algorithm for common solutions of operator equations and of inclusion problems

Fixexd point theory and applications

Aichao Liu¹  Changqun Wu² 

[1] Department of Mathematics, Huanghuai University, Zhumadian, China;School of Business and Administration, Henan University, Kaifeng, China

关键词: fixed point;    monotone operator;    strict pseudocontraction;    variational inequality;    zero point;   

DOI  :  10.1186/1687-1812-2012-90

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, zero points of the sum of a maximal monotone operator and an inverse-strongly monotone mapping, solutions of a monotone variational inequality, and fixed points of a strict pseudocontraction are investigated. A hybrid projection iterative algorithm is considered for analyzing the convergence of the iterative sequences. Strong convergence theorems are established in the framework of real Hilbert spaces without any compact assumptions. Some applications of the main results are also provided. AMS Classification: 47H05; 47H09; 47J25; 90C33.

【 授权许可】

CC BY