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ON PSEUDOMONOTONE SET-VALUED MAPPINGS IN TOPOLOGICAL VECTOR SPACES

Part of: Existence theories

Published online by Cambridge University Press:  01 October 2008

A. P. FARAJZADEH
A. P. FARAJZADEH*
Affiliation:
Department of Mathematics, Razi University, Kermanshah, 67149, Iran (email: [email protected], [email protected])
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Abstract

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In this paper we extend results of Inoan and Kolumban on pseudomonotone set-valued mappings to topological vector spaces. An application is made to a variational inequality problem.

Keywords

upper semi-continuityC-pseudomonotonicityKnaster–Kuratowski–Mazurkiewicz mapping

MSC classification

Secondary: 49J40: Variational methods including variational inequalities
Type
Research Article
Information
The ANZIAM Journal , Volume 50 , Issue 2 , October 2008 , pp. 258 - 265
Copyright
Copyright © Australian Mathematical Society 2009

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