F-implicit complementarity problems in Banach spaces

被引：1
|
作者：
Huang, NJ [1 ]
Li, J
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[2] China W Normal Univ, Dept Math, Nanchong 637002, Sichuan, Peoples R China
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2004年 / 23卷 / 02期
关键词：
F-implicit complementarity problem; F-implicit variational inequality; equivalence; Knaster-Kuratowski-Mazurkiewicz-mapping;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the F-implicit complementarity problem (F-ICP) and F-implicit variational inequality problem (F-IVIP) are introduced and studied. The equivalence between (F-ICP) and (F-IVIP) is presented under certain assumptions. Furthermore, we derive some new existence theorems of solutions for (F-ICP) and (F-IVIP) by using the Fan-Knaster-Kuratowski-Mazurkiewicz theorem [K. Fan: Math. Ann. 142 (1961), 305 - 310] and Lin's result [T. C. Lin: Bull. Austral. Math. Soc. 34 (1986), 107 - 117] under some suitable assumptions without the monotonicity.
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页码：293 / 302
页数：10
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