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Strict feasibility of generalized complementarity problems

Part of: Existence theories

Published online by Cambridge University Press:  09 April 2009

Y. R. He  and
K. F. Ng
Y. R. He
Affiliation:
Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan, P. R., China, e-mail: [email protected]
K. F. Ng
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, e-mail: [email protected]
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Abstract

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The existence of strictly feasible points is shown to be equivalent to the boundedness of solution sets of generalized complementarity problems with stably pseudomonotone mappings. This generalizes some known results in the literature established for complementarity problems with monotone mappings.

Keywords

generalized complementarity problemstably pseudomonotone mappingstrict feasibilityupper hemicontinuous set-valued mapping.

MSC classification

Secondary: 90C33: Complementarity and equilibrium problems and variational inequalities (finite dimensions) 49J40: Variational methods including variational inequalities
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 81 , Issue 1 , August 2006 , pp. 15 - 20
Copyright
Copyright © Australian Mathematical Society 2006

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