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.

引用

页码：1005 / 1014

页数：10

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