自反Banach空间中非线性隐补问题的解的存在性

数学季刊 ›› 1997, Vol. 12 ›› Issue (1): 81-86.

自反Banach空间中非线性隐补问题的解的存在性

Dept. of Math.,Shanghai Normal Univ.;Institute of Math.,Fudan Univ., Shanghai

收稿日期:1996-01-23 出版日期:1997-03-30 发布日期:2024-12-13

Existence of Solutions for Nonlinear Implicit Complementarity Problems in Reflexive Banach Spaces

Dept. of Math.,Shanghai Normal Univ.;Institute of Math.,Fudan Univ., Shanghai

Received:1996-01-23 Online:1997-03-30 Published:2024-12-13

摘要/Abstract

摘要： In this paper,we prove existence results of soutions for the nonlinear implicit complementarity problems NICP(T,S,K) where K is a closed weakly locally compact convex cone in a reflexive Banach space E,T is a nonlinear operator from K into E* (i. e.,the dual space of E) and S is a nonlinear operator from K into E. Our results are the essential improvements and extension of the results obtained previously by several authors including Thera,Ding,and Zeng.

关键词: , nonlinear implicit complementarity problem, closed weakly locally compact convex cone, sequentially weakly lower semicontinuous

Abstract: In this paper,we prove existence results of soutions for the nonlinear implicit complementarity problems NICP(T,S,K) where K is a closed weakly locally compact convex cone in a reflexive Banach space E,T is a nonlinear operator from K into E* (i. e.,the dual space of E) and S is a nonlinear operator from K into E. Our results are the essential improvements and extension of the results obtained previously by several authors including Thera,Ding,and Zeng.

Key words: , nonlinear implicit complementarity problem, closed weakly locally compact convex cone, sequentially weakly lower semicontinuous

中图分类号:

O175

曾六川. 自反Banach空间中非线性隐补问题的解的存在性[J]. 数学季刊, 1997, 12(1): 81-86.

Zeng Luchuan. Existence of Solutions for Nonlinear Implicit Complementarity Problems in Reflexive Banach Spaces[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 81-86.

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