[图书][B] Variational analysis
RT Rockafellar, RJB Wets - 2009 - books.google.com
From its origins in the minimization of integral functionals, the notion of'variations' has
evolved greatly in connection with applications in optimization, equilibrium, and control. It …
evolved greatly in connection with applications in optimization, equilibrium, and control. It …
The geometry of optimal transportation
In 1781, Monge [30] formulated a question which occurs naturally in economics: Given two
sets U, VcR d of equal volume, find the optimal volume-preserving map between them …
sets U, VcR d of equal volume, find the optimal volume-preserving map between them …
[图书][B] Vector optimization: set-valued and variational analysis
G Chen, X Huang, X Yang - 2005 - books.google.com
Vector optimization model has found many important applications in decision making
problems such as those in economics theory, management science, and engineering design …
problems such as those in economics theory, management science, and engineering design …
On quasi-convex duality
JP Penot, M Volle - Mathematics of Operations Research, 1990 - pubsonline.informs.org
ON QUASI-CONVEX DUALITY* Page 1 MATHEMATICS OF OPERATIONS RESEARCH Vol.
15, No. 4, November 1990 Primed in USA ON QUASI-CONVEX DUALITY* J EAN-PAUL PENOT …
15, No. 4, November 1990 Primed in USA ON QUASI-CONVEX DUALITY* J EAN-PAUL PENOT …
On -Convexity in Extremal Problems
S Dolecki, S Kurcyusz - SIAM Journal on Control and Optimization, 1978 - SIAM
For a class of functions Φ on an arbitrary set X, Φ-convex subsets of X and functions on X
are defined, the latter being least upper bounds of some functions from Φ. Also the …
are defined, the latter being least upper bounds of some functions from Φ. Also the …
Quasiconvex duality theory by generalized conjugation methods
JE Martínez-Legaz - Optimization, 1988 - Taylor & Francis
We survey duality theories for quasiconvex optimization problems, based on notions of
generalized conjugation. Some of them are obtained from Moreau's generalized …
generalized conjugation. Some of them are obtained from Moreau's generalized …
Fréchet-bounds and their applications
L Rüschendorf - Advances in Probability Distributions with Given …, 1991 - Springer
This paper gives a review of Fnkhet-bounds and their applications. In section two an
approach to the marginal problem and Fnkhet-bounds based on duality theory resp. the …
approach to the marginal problem and Fnkhet-bounds based on duality theory resp. the …
What is quasiconvex analysis?
JP Penot - Optimization, 2000 - Taylor & Francis
What is quasiconvex analysis? Page 1 Oprimizarion. 2000, Vol. pp. 35-110 Reprinrs available
directly from the publisher Photcccpying p-zmimd by 5-e on!g 2000 OPA (Overseas Publishers …
directly from the publisher Photcccpying p-zmimd by 5-e on!g 2000 OPA (Overseas Publishers …
Are generalized derivatives useful for generalized convex functions
JP Penot - Generalized convexity, generalized monotonicity …, 1998 - Springer
We present a review of some ad hoc sub differentials which have been devised for the
needs of generalized convexity such as the quasi-sub differentials of Greenberg-Pierskalla …
needs of generalized convexity such as the quasi-sub differentials of Greenberg-Pierskalla …
Generalized convex duality and its economic applicatons
JE Martínez-Legaz - Handbook of generalized convexity and generalized …, 2005 - Springer
This article presents an approach to generalized convex duality theory based on Fenchel-
Moreau conjugations; in particular, it discusses quasiconvex conjugation and duality in …
Moreau conjugations; in particular, it discusses quasiconvex conjugation and duality in …