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Titlebook: Recent Advances in Optimization; Alberto Seeger Conference proceedings 2006 Springer-Verlag Berlin Heidelberg 2006 Analysis.Calculus of Va

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On Nonconvex Relaxation Properties of Multidimensional Control Problemst example justifies the use of quasiconvex functions with infinite values in the relaxation process. In the second one, we examinate the relaxation properties of a restricted quasiconvex envelope function ƒ* introduced by Dacorogna/Marcellini.
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Inverse Linear Programmingnction. Then, given a point . we search for parameter values . and . as well as for an optimal solution . ∈ . (., .) such that ‖. − .‖ is minimal. This problem is formulated as a bilevel programming problem. Focus in the paper is on optimality conditions for this problem. We show that, under mild as
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Benson Proper Efficiency in Set-Valued Optimization on Real Linear Spacesve theorem is also established for this kind of set-valued maps. Using the notion of vector closure introduced recently by Adán and Novo, we also provide, in this framework, an adaptation of the proper efficiency in the sense of Benson for set-valued maps. The previous results are then applied to ob
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A Note on Error Estimates for some Interior Penalty Methodsppropriate growth conditions on the objective function, we derive computable estimates for the distance from the subproblem solution to the solution of the original problem. Some of those estimates are shown to be sharp.
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