Duality of implicit complementarity problems by using inversions and scalar derivatives

被引：4

作者：

Isac, G. ^{[1
]}

Nemeth, S. Z.

机构：

[1] Royal Mil Coll Canada, Dept Math & Comp Sci, Kingston, ON K7K 5L0, Canada

[2] Hungarian Acad Sci, Inst Comp & Automat, Budapest, Hungary

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2006年 / 128卷 / 03期

基金：

匈牙利科学研究基金会;

关键词：

implicit complementarity problems; exceptional family of elements; infinitesimal exceptional family of elements; ordered pair of mappings; inversions; scalar derivatives;

D O I：

10.1007/s10957-006-9035-6

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The notion of infinitesimal exceptional family of elements for an ordered pair of mappings is introduced. By using a special inversion mapping, a duality between the exceptional family of elements for an ordered pair of mappings and the infinitesimal exceptional family of elements for an ordered pair of mappings is presented. By using this duality and the notion of scalar derivatives, existence theorems for implicit complementarity problems in Hilbert spaces are presented.

引用

页码：621 / 633

页数：13

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