Generalised variational-like inequalities and a gap function

被引:5
作者
Ansari, QH
Yao, JC
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan
关键词
D O I
10.1017/S0004972700032573
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study the existence of solutions of generalised variational-like inequality problems by using a generalised form of the Fan-KKM-Theorem. We also introduce a gap function for generalised variational-like inequalities.
引用
收藏
页码:33 / 44
页数:12
相关论文
共 22 条
[1]  
BOSS RK, 1997, NONLINEAR ANAL-THEOR, V30, P4161
[2]   FIXED POINT THEORY OF MULTI-VALUED MAPPINGS IN TOPOLOGICAL VECTOR SPACES [J].
BROWDER, FE .
MATHEMATISCHE ANNALEN, 1968, 177 (04) :283-&
[3]   Generalization of Ky Fan's minimax inequality with applications to generalized variational inequalities for pseudo-monotone operators and fixed point theorems [J].
Chowdhury, MSR ;
Tan, KK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (03) :910-929
[4]  
CHOWDHURY MSR, 1997, B POLISH ACAD SCI, V45, P25
[5]   Pseudomonotone variational inequality problems: Existence of solutions [J].
Crouzeix, JP .
MATHEMATICAL PROGRAMMING, 1997, 78 (03) :305-314
[6]   GENERALIZED NONLINEAR VARIATIONAL-INEQUALITIES WITH NONMONOTONE SETVALUED MAPPINGS [J].
DING, XP ;
TARAFDAR, E .
APPLIED MATHEMATICS LETTERS, 1994, 7 (04) :5-11
[7]   Generalized variational-like inequalities with nonmonotone set-valued mappings [J].
Ding, XP .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1997, 95 (03) :601-613
[8]   A GENERALIZATION OF TYCHONOFF FIXED POINT THEOREM [J].
FAN, K .
MATHEMATISCHE ANNALEN, 1961, 142 (03) :305-310
[9]   GENERALIZED VARIATIONAL-INEQUALITIES [J].
FANG, SC ;
PETERSON, EL .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1982, 38 (03) :363-383
[10]  
Hearn D. W., 1982, Operations Research Letters, V1, P67, DOI 10.1016/0167-6377(82)90049-9