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On some vector ƒ-complementarity problems

On some vector ƒ-complementarity problems Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized ƒ-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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

On some vector ƒ-complementarity problems

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Publisher
de Gruyter
Copyright
© de Gruyter 2011
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2011.0046
Publisher site
See Article on Publisher Site

Abstract

Recently, Huang, Li and O'Regan introduced a class of (scalar) generalized ƒ-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.

Journal

Georgian Mathematical Journal – de Gruyter

Published: Dec 1, 2011

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

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