Existence theorems for generalized quasi-variational hemivariational inequalities

Ji-an Wang; Yunhua Ou

doi:10.1556/sscmath.2007.1057

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 45: Issue 4

Existence theorems for generalized quasi-variational hemivariational inequalities

Authors:

Ji-an Wang

Ji-an Wang Changsha University of Science and Technology Department of Mathematics Changsha Hunan 410076 P.R. China

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Yunhua Ou

Yunhua Ou Hunan University of Technology Department of Mathematics Zhuzhou Hunan 412000 P.R. China

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Pages:: 443–449

Online Publication Date:: 02 Sep 2008

Publication Date:: 01 Dec 2008

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.2007.1057

Keywords:: Primary 34A60; 35J85; 47J20; Quasi-variational hemivariational inequalities; Clarke subdifferential; pseudomonotone operators; existence of solutions; set valued mappings

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The purpose of this paper is to study the existence of solutions for generalized quasivariational hemivariational inequalities with multivalued, discontinuous pseudomonotone operators. We obtain results which generalize and extend previously known theorems.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

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Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

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Gábor SÁGI (Rényi Institute of Mathematics)

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Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

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Studia Scientiarum Mathematicarum Hungarica
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