Exceptional family of elements for general order complementarity problems

Sandor Nemeth

doi:10.1016/j.amc.2010.07.018

Exceptional family of elements for general order complementarity problems

Sandor Nemeth

Mathematics

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

The notion of exceptional family of elements for general order complementarity problems in Banach spaces will be introduced. It will be shown that for general order complementarity problems defined by completely continuous fields the problem has either a solution or an exceptional family of elements. Finite dimensional examples and an application to integral operators will be given. (C) 2010 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	2184-2190
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	217
Issue number	5
DOIs	https://doi.org/10.1016/j.amc.2010.07.018
Publication status	Published - 1 Nov 2010

Keywords

Integral operator
Vector lattice
Exceptional family of elements
General order complementarity problem
Ordered Banach space
Leray-Schauder alternative

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10.1016/j.amc.2010.07.018

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title = "Exceptional family of elements for general order complementarity problems",

abstract = "The notion of exceptional family of elements for general order complementarity problems in Banach spaces will be introduced. It will be shown that for general order complementarity problems defined by completely continuous fields the problem has either a solution or an exceptional family of elements. Finite dimensional examples and an application to integral operators will be given. (C) 2010 Elsevier Inc. All rights reserved.",

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AU - Nemeth, Sandor

PY - 2010/11/1

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N2 - The notion of exceptional family of elements for general order complementarity problems in Banach spaces will be introduced. It will be shown that for general order complementarity problems defined by completely continuous fields the problem has either a solution or an exceptional family of elements. Finite dimensional examples and an application to integral operators will be given. (C) 2010 Elsevier Inc. All rights reserved.

AB - The notion of exceptional family of elements for general order complementarity problems in Banach spaces will be introduced. It will be shown that for general order complementarity problems defined by completely continuous fields the problem has either a solution or an exceptional family of elements. Finite dimensional examples and an application to integral operators will be given. (C) 2010 Elsevier Inc. All rights reserved.

KW - Integral operator

KW - Vector lattice

KW - Exceptional family of elements

KW - General order complementarity problem

KW - Ordered Banach space

KW - Leray-Schauder alternative

U2 - 10.1016/j.amc.2010.07.018

DO - 10.1016/j.amc.2010.07.018

M3 - Article

SN - 1873-5649

VL - 217

SP - 2184

EP - 2190

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 5

ER -

Exceptional family of elements for general order complementarity problems

Abstract

Keywords

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