Titlebook: Optimization; Proceedings of the 9 Van Hien Nguyen,Jean-Jacques Strodiot,Patricia Tos Conference proceedings 2000 Springer-Verlag Berlin He

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Van Hien Nguyen,Jean-Jacques Strodiot,Patricia TosIncludes supplementary material:

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Vector Variational Principles Towards Asymptotically Well Behaved Vector Convex Functions,The aim of this paper is to present and analyse several kinds of ε— efficiency related to some metrically consistent vector variational principles as a converse of the asymptotical well behaviour of the vector convex functions.

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Arrow-Barankin-Blackwell Theorems and Related Results in Cone Duality: A Survey,We attempt a brief survey on the cone duality and on the density theorems of Arrow-Barankin&Blackwell’s type. Concerning the latter aspect we show the equivalence of two recent and ostensibly different results. We follow a unified approach which provides in particular a simple way of surveying these results and their proofs.

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Lecture Notes in Economics and Mathematical Systemshttp://image.papertrans.cn/o/image/703134.jpg

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https://doi.org/10.1007/978-3-642-57014-8Mathematica; Stochastische P; algorithms; control theory; convex analysis; dynamical systems; global optim

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Eigenvalue Localization for Multivalued Operators,hown in this note, if . satisfies a so-called “upper-normality” assumption, then it is possible to derive a simple variational formula for the supremum of σ(.). Lowernormality of . yields, of course, an analogous formula for the infimum of σ(.)

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