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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, J. / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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On some vector -complementarity problems

1Department of Mathematics, Texas A&M University Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA.

2Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran.

3Department of Mathematics, Razi University, Kermanshah, 67149, Iran.

4Department of Mathematics, National University of Ireland, Galway, Ireland.

Citation Information: Georgian Mathematical Journal. Volume 18, Issue 4, Pages 597–614, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2011.0046, January 2011

Publication History

Received:
2009-12-17

Abstract

Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized -complementarity problems and three classes of variational inequalities in real Banach spaces for a fixed cone. Our aim is to introduce a vector case of their problems in the real topological vector spaces setting for a moving cone and to generalize their results even in the scalar case.

Keywords.: Generalized vector -complementarity problem; generalized vector variational inequality; coercivity conditions; equivalence; existence

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