Banach空间中的非线性补问题  

A complementarity problem in Banach space

作　　者：王如海[1] 

机构地区：[1]南昌航空工业学院信息与计算科学系,江西南昌330034

出　　处：《南昌航空工业学院学报》2002年第1期38-40,共3页Journal of Nanchang Institute of Aeronautical Technology（Natural Science Edition）

摘　　要：本文研究Banach空间中非线性补问题解的存在性和唯一性 ,得到了自反的Banach空间中凸锥上一类严格单调映射的补问题解的存在性和唯一性结果以及自反的Banach空间中局部弱紧闭凸锥上两个非线性算子之差的补问题解的存在性结果。In this paper, we study an existence and uniqueness of solution for the nonlinear complementarity problem in Banach space, produce an existence and uniqueness result of solution for the nonlinear complementarity problem associated to a strictly monotone mapping and to a convex cone in a reflexive Banach space, and produce an existence result of solution for the nonlinear complementarity problem associated to the difference of two nonlinear mapping and to a weakly locally compact closed convex cone in a reflexivc Banach space

关 键 词：非线性问题 自反BANACH空间 单调映射 对偶映射 变分不等式方程 

分 类 号：O178[理学—数学]