Survey on Vector Complementarity Problems

Authors:
F. Giannessi;G. Mastroeni;X. Q. Yang
Affiliations:
Department of Mathematics, University of Pisa, Pisa, Italy;Department of Mathematics, University of Pisa, Pisa, Italy;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China
Venue:
Journal of Global Optimization
Year:
2012

Citing 7
Cited 1

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Abstract

The paper aims at summarizing the main results on Vector Complementarity Problems (VCP), including the existence of a solution and the relations with Vector Variational Inequalities and Vector Optimization Problems. Particular attention will be given to a VCP with a variable domination structure, where the ordering cone depends on the unknown variable.