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A unified approach for a class of problems involving a pseudo-monotone operator

✍ Scribed by Petru Jebelean; Dumitru Motreanu; Viorica Venera Motreanu

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
156 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we establish the solvability and approximation of a general inequality problem by means of a sequence of problems satisfying some compatibility conditions with respect to the initial one. The setting allows to unify and extend various existence results in the smooth and nonsmooth analysis. The approach mainly relies on Galerkin like approximations, pseudo‐monotone operators and topics from nonsmooth analysis. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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