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
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
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页码:1075 / 1081
页数:7
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