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

被引：0
|
作者：
曾六川
机构：
来源：
Chinese Quarterly Journal of Mathematics | 1997年 / 01期
关键词：
nonlinear implicit complementarity problem; closed weakly locally compact convex cone; sequentially weakly lower semicontinuous;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
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.
引用
收藏
页码：81 / 86
页数：6
相关论文
共 50 条
  • [31] On existence of efficient solutions to vector optimization problems in Banach spaces
    Kogut, Peter I.
    Manzo, Rosanna
    Nechay, Igor V.
    [J]. NOTE DI MATEMATICA, 2010, 30 (01): : 25 - 39
  • [32] The existence of solutions for set-valued nonlinear complementarity problems
    Fan, Jiang-Hua
    Li, Pei-Xing
    [J]. Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 2007, 46 (06): : 22 - 24
  • [33] On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces
    Huang, Nan-Jing
    Lan, Heng-You
    Teo, Kok Lay
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)
  • [34] Existence of solutions for generalized variational inequality problems in Banach spaces
    Junlouchai, Prapairat
    Plubtieng, Somyot
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (03) : 999 - 1004
  • [35] EXISTENCE OF SOLUTIONS FOR SEMILINEAR NONLOCAL CAUCHY PROBLEMS IN BANACH SPACES
    Xue, Xingmei
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
  • [36] On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces
    Nan-Jing Huang
    Heng-You Lan
    Kok Lay Teo
    [J]. Journal of Inequalities and Applications, 2007
  • [37] Approximation of common solutions of nonlinear problems in Banach spaces
    Zegeye, Solomon B.
    Sangago, Mengistu G.
    Zegeye, Habtu
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2022, 41 (05):
  • [38] Approximation of common solutions of nonlinear problems in Banach spaces
    Solomon B. Zegeye
    Mengistu G. Sangago
    Habtu Zegeye
    [J]. Computational and Applied Mathematics, 2022, 41
  • [39] On the existence of zeros of monotone operators in reflexive Banach spaces
    Matsushita, Shin-ya
    Takahashi, Wataru
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) : 1354 - 1364
  • [40] Existence theorems for monotone operators in reflexive Banach spaces
    Matsushita, Shin-Ya
    Takahashi, Wataru
    [J]. ARCHIV DER MATHEMATIK, 2007, 89 (03) : 254 - 265
12345