A BASIC THEOREM OF COMPLEMENTARITY FOR THE GENERALIZED VARIATIONAL-LIKE INEQUALITY PROBLEM

被引：9
|
作者：
YAO, JC
机构：
[1] Department of Operations Research, Stanford University, Stanford
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1991年 / 158卷 / 01期
关键词：
D O I：
10.1016/0022-247X(91)90272-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a basic theorem of complementarity is established for generalized variational-like inequality problems introduced by Parida and Sen. Some existence results for both generalized variational inequality and complementarity problems are established by employing this basic theorem of complementarity. In particular, some sets of conditions that are normally satisfied by a nonsolvable generalized complementarity problem are investigated. © 1991.
引用
收藏
页码：124 / 138
页数：15
相关论文
共 50 条
  • [41] Variational-Like Inequality Problems Involving Set-Valued Maps and Generalized Monotonicity
    Nicuşor Costea
    Daniel Alexandru Ion
    Cezar Lupu
    [J]. Journal of Optimization Theory and Applications, 2012, 155 : 79 - 99
  • [42] COMMON SOLUTION TO A SPLIT EQUALITY MONOTONE VARIATIONAL INCLUSION PROBLEM, A SPLIT EQUALITY GENERALIZED GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEM AND A SPLIT EQUALITY FIXED POINT PROBLEM
    Kazmi, K. R.
    Ali, Rehan
    Furkan, Mohd
    [J]. FIXED POINT THEORY, 2019, 20 (01): : 211 - 231
  • [43] Generalized Multivalued Vector Variational-like Inequalities
    Wang, Feng-jiao
    Zhao, Ya-li
    Lu, Hong
    [J]. 2015 INTERNATIONAL CONFERENCE ON APPLIED MECHANICS AND MECHATRONICS ENGINEERING (AMME 2015), 2015, : 426 - 429
  • [44] EXISTENCE RESULTS FOR GENERALIZED VARIATIONAL-LIKE INEQUALITIES
    Tang, Guo-Ji
    Zhao, Ting
    Huang, Nan-Jing
    [J]. PACIFIC JOURNAL OF OPTIMIZATION, 2020, 16 (01): : 143 - 154
  • [45] Generalized Nonlinear Implicit Variational-Like Inequalities
    Da Peng GAO Zhong Quan HE Shi Qiang FENG School of Mathematics and Information China West Normal University Sichuan P R China
    [J]. 数学研究与评论, 2010, 30 (02) - 296
  • [46] Generalized Nonlinear Implicit Variational-Like Inequalities
    Da Peng GAO
    [J]. Journal of Mathematical Research with Applications, 2010, (02) : 291 - 296
  • [47] Generalized multivalued vector variational-like inequalities
    Irfan, Syed Shakaib
    Ahmad, Rais
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2010, 46 (01) : 25 - 30
  • [48] On solvability of generalized nonlinear variational-like inequalities
    Zhang, Lili
    Liu, Zeqing
    Kang, Shin Min
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 163 - 176
  • [49] On generalized strongly nonlinear variational-like inequalities
    Liu, ZQ
    Sun, JH
    Shim, SH
    Kang, SM
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (04): : 705 - 716
  • [50] A new shrinking projection algorithm for a generalized mixed variational-like inequality problem and asymptotically quasi-φ-nonexpansivemapping in a Banach space
    Farid, Mohammad
    Cholamjiak, Watcharaporn
    Ali, Rehan
    Kazmi, K. R.
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (03)
12345