【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。更多还原

【Abstract】 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更多还原