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

页码：1075 / 1081

页数：7

共 50 条

[31] α-Topological Vector Spaces
Al-Hawary, Talal
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (05): : 1102 - 1107
[32] TOPOLOGICAL VECTOR SPACES
GARLING, DJH
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1965, 40 (158P): : 382 - &
[33] TOPOLOGICAL VECTOR SPACES
LANDSBER.M
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1965, 45 (04): : 265 - +
[34] TOPOLOGICAL VECTOR SPACES
BROWN, TA
QUARTERLY OF APPLIED MATHEMATICS, 1966, 23 (04) : 336 - &
[35] VECTOR EQUILIBRIUM PROBLEMS FOR MULTIFUNCTIONS IN TOPOLOGICAL SEMILATTICE SPACES
Nguyen The Vinh
Pham Thi Hoai
FIXED POINT THEORY, 2017, 18 (02): : 741 - 753
[36] Equilibrium problems and variational inequalities in topological vector spaces
Farajzadeh, A. P.
Zafarani, J.
OPTIMIZATION, 2010, 59 (04) : 485 - 499
[37] Inclusion problems in ordered topological vector spaces and applications
Heikkilä, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) : 94 - 105
[38] Topological vector spaces problems in homology and homotopy theories
Lisica, Ju. T.
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (17) : 2715 - 2735
[39] HYPERSPACES OF TOPOLOGICAL VECTOR-SPACES - THEIR EMBEDDING IN TOPOLOGICAL VECTOR-SPACES
PRAKASH, P
SERTEL, MR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 61 (01) : 163 - 168
[40] Vector Equilibrium Problem in Topological Vector Spaces
Wu, Zhiyong
PROCEEDINGS OF THE 2018 6TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS AND COMPUTING TECHNOLOGY (ICMMCT 2018), 2018, 152 : 42 - 45

← 1 2 3 4 5 →