Some remarks on complementarity problems in a Hilbert space

被引：0
|
作者：
Carbone, A [1 ]
Zabreiko, PP
机构：
[1] Univ Calabria, Dipartimento Matemat, IT-87036 Cosenza, Italy
[2] Natl Acad Sci, Inst Math, Minsk 220072, BELARUS
[3] Belarusian State Univ, Fac Mech & Math, Minsk 220050, BELARUS
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2002年 / 21卷 / 04期
关键词：
complementarity problems; topological degree; exceptional elements; homotopy; operator of class S+; quasi-monotone operators;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new approach to the analysis of solvability properties for complementarity problems in a Hilbert space. This approach is based on the Skrypnik degree which, in the case of mappings in a Hilbert space, is essentially more general in comparison with the classical Leray-Schauder degree. Namely, the Skrypnik degree allows us to obtain some new results about solvability of complementarity problems in the infinite-dimensional case. The case of generalized solutions is also considered.
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页码：1005 / 1014
页数：10
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