Quadratic minimization for equilibrium problem variational inclusion and fixed point problem  

作　　者：张石生 李向荣 陈志坚 

机构地区：[1]Department of Mathematics, Yibin University [2]Department of Applied Mathematics,The Hong Kong Polytechnic University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第7期917-928,共12页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of Yibin University (No.2009-Z003)

摘　　要：The purpose of this paper is to find the solutions to the quadratic mini- mization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above min- imization problem. The results presented in the paper extend and improve some recent results.The purpose of this paper is to find the solutions to the quadratic mini- mization problem by using the resolvent approach. Under suitable conditions, some new strong convergence theorems are proved for approximating a solution of the above min- imization problem. The results presented in the paper extend and improve some recent results.

关 键 词：quadratic minimization generalized equilibrium fixed point variational inclusion multi-valued maximal monotone mapping inverse-strongly monotone mapping resolvent operator nonexpansive mapping 

分 类 号：O177.91[理学—数学] G633.7[理学—基础数学]