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Solvability of -complementarity problems with a new exceptional family of elements

โœ Scribed by Ke-qing Wu; Nan-jing Huang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
236 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this work, we introduce a new notion of an exceptional family of elements for a J -completely continuous field, and utilize this notion to study the solvability for a class of generalized f -complementarity problems in Banach spaces. Employing the Leray-Schauder alternative theorem and the generalized f -projection operator introduced by Wu and Huang, we obtain some solvability results for the generalized f -complementarity problems in Banach spaces under suitable conditions.

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## Abstract All finite solvable groups that have symmetric sequencings are characterized. Let __G__ be a finite solvable group. It is shown that __G__ has a symmetric sequencing if and only if __G__ has a unique element of order two and is not the quaternion group. All finite groups with a unique e