集值非线性互补问题解的存在性  

The Existence of Solutions for Set-valued Nonlinear Complementarity Problems

作　　者：范江华[1] 黎培兴[2] 

机构地区：[1]广西师范大学数学学院,广西桂林541004 [2]中山大学数学与计算科学学院,广东广州510275

出　　处：《中山大学学报（自然科学版）》2007年第6期22-24,29,共4页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(10561002);广西青年科学基金资助项目(0007002)

摘　　要：研究集值非线性互补问题,构造一个新的辅助函数,将集值非线性互补问题转化为不动点问题,利用Leray-Schauder不动点定理给出集值非线性互补问题存在解的一个充分条件,推广了一些著名的结果。给出求解非线性互补问题Leray-Schauder不动点算法。The set-valued nonlinear complementarity problems are studied. First, a new auxiliary function is constructed to transform the set-valued nolinear complementarity problems into fixed point problems. By utilizing the Leary-Schauder fixed point theorem, a sufficient condition is given for the existence of the solution to the set-valued nonlinear complementarity problems. The results generalize some well-known existence theorems. Then, Leary-Schauder fixed point algorithm is established to solve the nonlinear complementarity problems.

关 键 词：集值非线性互补问题 不动点 向量标号算法 零调映射 

分 类 号：O224.1[理学—运筹学与控制论]