无限族demi压缩映射与平衡问题的收敛定理  

Convergence Theorems for an Infinite Family of Demicontractive Mappings and Equilibrium Problems

作　　者：张丽娟[1] 刘英[1] 

机构地区：[1]河北大学数学与信息科学学院,保定071002

出　　处：《数学学报（中文版）》2017年第5期721-730,共10页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11401157);河北省自然科学基金资助项目(A2012201054)

摘　　要：在Hilbert空间中,为了找到无限个demi压缩映射公共不动点集和广义混合平衡问题解的公共元,本文介绍了一种迭代算法,得到关于公共元的强收敛定理,并给出例子说明结果.The purpose of this paper is to introduce an iterative method for finding a common element of the set of solutions of generalized mixed equilibrium problems and the set of common fixed points of an infinite family of demicontractive mappings in Hilbert spaces. The strong convergence theorem of the purposed iterative scheme is obtained. We give some numerical examples to demonstrate our results.

关 键 词：demi压缩映射 平衡问题 不动点 

分 类 号：O177.2[理学—数学]