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AN EXISTENCE RESULT FOR A VARIATIONAL-LIKE INEQUALITY

Part of: Equations and inequalities involving nonlinear operators Nonlinear operators and their properties

Published online by Cambridge University Press:  13 June 2014

DANIELA INOAN
DANIELA INOAN*
Affiliation:
Technical University of Cluj-Napoca, Department of Mathematics, Cluj-Napoca, Romania email [email protected]
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Abstract

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In this paper we establish an existence result for a class of generalised variational-like inequalities, when the functions used in their definition are of type ql and satisfy some general continuity assumptions. We use a Brézis–Nirenberg–Stampacchia type result.

Keywords

variational-like inequalityoperator of type qlKKM mapping

MSC classification

Secondary: 47H04: Set-valued operators 47J20: Variational and other types of inequalities involving nonlinear operators (general)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 90 , Issue 2 , October 2014 , pp. 319 - 326
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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