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A unified approach for a class of problems involving a pseudo‐monotone operator
Author(s) -
Jebelean Petru,
Motreanu Dumitru,
Motreanu Viorica Venera
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510678
Subject(s) - mathematics , monotone polygon , class (philosophy) , operator (biology) , compatibility (geochemistry) , galerkin method , variational inequality , sequence (biology) , mathematical optimization , pure mathematics , algebra over a field , finite element method , computer science , artificial intelligence , biochemistry , chemistry , physics , geometry , genetics , geochemistry , repressor , biology , transcription factor , gene , geology , thermodynamics
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. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)