منابع مشابه
Duality Theorems and Theorems of the Alternative
It is shown, in a completely general setting, that a theorem of the alternative is logically equivalent to a duality theorem linking two constrained optimization problems. A standard technique for proving a duality theorem linking two constrained optimization problems is to apply an appropriate theorem of the alternative, sometimes called a transposition theorem (see, e.g., Mangasarian [2], Roc...
متن کاملWEAK AND STRONG DUALITY THEOREMS FOR FUZZY CONIC OPTIMIZATION PROBLEMS
The objective of this paper is to deal with the fuzzy conic program- ming problems. The aim here is to derive weak and strong duality theorems for a general fuzzy conic programming. Toward this end, The convexity-like concept of fuzzy mappings is introduced and then a speci c ordering cone is established based on the parameterized representation of fuzzy numbers. Un- der this setting, duality t...
متن کاملNotes on Koszul duality (for quadratic algebras)
3 Koszul duality 22 3.1 Quadratic algebras . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3.2 Dual coalgebra and algebra . . . . . . . . . . . . . . . . . . . . . 23 3.3 Some more examples . . . . . . . . . . . . . . . . . . . . . . . . . 28 3.3.1 The free algebra . . . . . . . . . . . . . . . . . . . . . . . 28 3.3.2 An example from Fröberg . . . . . . . . . . . . . . . . . . 28 3.3.3 ...
متن کاملLecture Notes on Duality and Interpolation Spaces
Known or essentially known results about duals of interpolation spaces are presented, taking a point of view sometimes slightly different from the usual one. Particular emphasis is placed on Alberto Calderón’s theorem describing the duals of complex interpolation spaces. The pace is slow, since these notes are intended for graduate students who have just begun to study interpolation spaces. Thi...
متن کاملDuality Principles and Reduction Theorems
We introduce a fairly general class of Banach function spaces X given by kfk X := kf k X , where f is deened on a totally {{nite non-atomic measure space (R;), f is the non-increasing rearrangement of f with respect to and X is certain rearrangement-invariant space over the interval (0; (R)). This class contains for example classical Lorentz spaces. We prove a general duality principle for thes...
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ژورنال
عنوان ژورنال: Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics
سال: 1972
ISSN: 1883-4345,0579-3068
DOI: 10.5036/bfsiu1968.4.1