Vector F-implicit complementarity problems in topological vector spaces

被引：9
|
作者：
Farajzadeh, A. P. [1 ]
Zafarani, J.
机构：
[1] Razi Univ, Dept Math, Kermanshah 67149, Iran
[2] Univ Isfahan, Dept Math, Esfahan 81745163, Iran
来源：
APPLIED MATHEMATICS LETTERS | 2007年 / 20卷 / 10期
关键词：
vector F-implicit complementarity problems; vector f-iruplicit variational inequalities; KKM-map; positively homogeneous map; topological vector space;
D O I：
10.1016/j.aml.2006.07.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Huang and Li [J. Li, N.J. Huang, Vector F-implicit complementarity problems in Banach spaces, Appl. Math. Lett. 19 (2006) 464-471] introduced and studied a new class of vector F-implicit complementarity problems and vector F-implicit variational inequality problems in Banach spaces. In this work, we study this class in topological vector spaces and drive some existence theorems for the vector F-implicit variational inequality and vector F-implicit complementarity problem. Also, their equivalence is presented under certain conditions. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1075 / 1081
页数：7
相关论文
共 50 条
  • [41] Implicit Complementarity Problems in Banach Spaces
    郭伟平
    Northeastern Mathematical Journal, 1997, (03) : 335 - 339
  • [42] Survey on Vector Complementarity Problems
    F. Giannessi
    G. Mastroeni
    X. Q. Yang
    Journal of Global Optimization, 2012, 53 : 53 - 67
  • [43] Survey on Vector Complementarity Problems
    Giannessi, F.
    Mastroeni, G.
    Yang, X. Q.
    JOURNAL OF GLOBAL OPTIMIZATION, 2012, 53 (01) : 53 - 67
  • [44] Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces
    Chen, Bin
    Liu, Qing-you
    Liu, Zhi-bin
    Huang, Nan-jing
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [45] Piecewise Linear Vector Optimization Problems on Locally Convex Hausdorff Topological Vector Spaces
    Nguyen Ngoc Luan
    ACTA MATHEMATICA VIETNAMICA, 2018, 43 (02) : 289 - 308
  • [46] Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces
    Bin Chen
    Qing-you Liu
    Zhi-bin Liu
    Nan-jing Huang
    Fixed Point Theory and Applications, 2011
  • [47] Constraint Qualifications for Vector Optimization Problems in Real Topological Spaces
    Zeng, Renying
    AXIOMS, 2023, 12 (08)
  • [48] Generalized Vector Equilibrium Problems in Topological Ordered Spaces with Applications
    Lu, Haishu
    PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 1, 2009, : 406 - 411
  • [49] Theorem of Alternative and Scalarization of Optimization Problems in Topological Vector Spaces
    Zeng, Renying
    CONTEMPORARY MATHEMATICS, 2024, 5 (03): : 2990 - 3001
  • [50] On realcompact topological vector spaces
    J. Ka̧kol
    M. López-Pellicer
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2011, 105 : 39 - 70
12345