Displaying similar documents to “Order-Lipschitzian properties of multifunctions with applications to stability of efficient points”

Properties of the solution of evolution inclusions driven by time dependent subdifferentials

Nikolaos S. Papageorgiou (1992)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we consider evolution inclusions driven by a time-dependent subdifferential. First we prove a relaxation result and then we use it to show that if the solution set is closed in a space of continuous functions, then the orientor field is almost everywhere convex valued.

On localizing global Pareto solutions in a given convex set

Agnieszka Drwalewska, Lesław Gajek (1999)

Applicationes Mathematicae

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Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing...

Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints

Gadhi, N., Metrane, A. (2004)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30. In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.