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Toplam kayıt 17, listelenen: 1-10
Weak Conjugate Duality for Nonconvex Vector Optimization
(Yokohama Publishers, 2017)
In this work, weak conjugate map, weak biconjugate map and weak subdifferential of a set-valued map are defined by using notions of supremum/infimum of a set and vectorial norm, and relationships among these notions are ...
Minkowski-Radstrom-Hormander Cone
(Yokohama Publishers, 2014)
In this paper we introduce and investigate the notion of the generalized Minkowski-Radstrom Hormander cone giving a special attention to the order law of cancellation. In particular we embed the convex cone e(X) of nonempty ...
On solution of boundary value problem for differential inclusion
(Pergamon-Elsevier Science LTD, 2000)
In the article an inverse problem for differential inclusion is considered. For a given compact set M-* subset of R-n it is required to define the maximal set M-0 subset of R-n so that the reachable set of differential ...
Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions
(Taylor & Francis LTD, 2015)
In this work, we give some characterizations of gw-subdifferentiability of a vector-valued function by using its directional derivative and radial epiderivative. Moreover, under some assumptions, we proved that the directional ...
Weak subdifferential/superdifferential, weak exhausters and optimality conditions
(Taylor & Francis LTD, 2015)
In this work, the notion of weak superdifferential is presented. Some calculation rules are given to evaluate weak subdifferential and weak superdifferential of some classes of functions represented by support functions. ...
Generalized weak subdifferentials
(Taylor & Francis LTD, 2011)
In this article, generalized weak subgradient (gw-subgradient) and generalized weak subdifferential (gw-subdifferential) are defined for nonconvex functions with values in an ordered vector space. Convexity and closedness ...
A vectorization for nonconvex set-valued optimization
(Scientific Technical Research Council Turkey-Tubitak, 2018)
Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of the Gerstewitz function, a vectorizing function is defined to replace ...
Weak Fenchel and weak Fenchel-Lagrange conjugate duality for nonconvex scalar optimization problems
(Springer, 2012)
In this work, by using weak conjugate maps given in (Azimov and Gasimov, in Int J Appl Math 1:171-192, 1999), weak Fenchel conjugate dual problem, , and weak Fenchel Lagrange conjugate dual problem are constructed. Necessary ...
On generalized weak subdifferentials and some properties
(Taylor & Francis LTD, 2012)
In this article, some characterizations for gw-subdifferentiability of functions from R-n to R-m are stated. Some criteria for gw-subdifferentiability of generalized lower locally Lipschitz functions and positively homogeneous ...
On some geometric conditions for minimality of DCH-functions via DC-duality approach
(Springer, 2017)
In this study, some optimality conditions for DCH-functions are given in terms of -faces using DC-duality approach. We introduce some geometric characterizations for the solution set of DCH-minimization problems by means ...