Zeitschrift für Analysis und ihre Anwendungen 23 (2004), No. 2, 293--302
Copyright Heldermann Verlag 2004
F-Implicit Complementarity Problems in Banach Spaces
Nan-jing Huang
Dept. of Mathematics, Sichuan University, Chengdu, Sichuan 610064, P. R. China
nanjinghuang@hotmail.com
Jun Li
Dept. of Mathematics, China West Normal University, Nanchong, Sichuan 637002, P. R. China
junli1026@163.com
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 Math. Ann. 142 (1961), 305 -- 310] and Lin's Bull. Austral. Math. Soc. 34 (1986), 107 -- 117] under some suitable assumptions without the monotonicity.
Keywords: F-implicit complimentarity problem, F-implicit variational inequality, equivalence, Knaster-Kuratowski-Mazurkiewicz-mapping.
MSC: 90C33; 49J40
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