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On the theory of Vector Optimization and Variational Inequalities. Image space analysis and separation
No full textSurvey on vector complementarity problems
No full textThe 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.Department of Applied Mathematic
A survey on vector variational inequalities
No full textThe paper consists in a brief overview on Vector Variational Inequalities (VVI). The connections between VVI and Vector Optimization Problems (VOP) are considered. This leads to point out that necessary optimality conditions for a VOP can be formulated by means of a VVI when the objective function is Gâteaux differentiable and the feasible set is convex. In particular, the existence of solutions and gap functions associated with VVI are analysed. Gap functions provide an equivalent formulation of a VVI, in terms of a constrained extremum problem. Finally, Vector Complementarity Problems and their relationships with VVI are considered.Department of Applied Mathematic
A multifunction approach to extremum problems having infinite-dimensional image. Necessary conditions for unilateral constraints
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