Yazar "Grzybowski, Jerzy" için listeleme
-
Minkowski-Radstrom-Hormander Cone
Grzybowski, Jerzy; Küçük, Mahide; Küçük, Yalçın; Urbanski, Ryszard (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 minimal representations by a family of sublinear functions
Grzybowski, Jerzy; Küçük, Mahide; Küçük, Yalçın; Urbanski, Ryszard (Springer, 2015)This paper is a continuation of Grzybowski et al. (J Glob Optim 46:589-601, 2010) and is motivated by the study of exhausters i.e. families of closed convex sets. By Minkowski duality closed convex sets correspond to ... -
Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters
Küçük, Mahide; Urbanski, Ryszard; Grzybowski, Jerzy; Küçük, Yalçın; Güvenc, İlknur Atasever; Tozkan, Didem; Soyertem, Mustafa (Springer/Plenum Publishers, 2015)In this work, it is proved that weak exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero ... -
Some relationships among quasidifferential, weak subdifferential and exhausters
Küçük, Mahide; Urbanski, Ryszard; Grzybowski, Jerzy; Küçük, Yalçın; Güvenc, İlknur Atasever; Tozkan, Didem; Soyertem, Mustafa (Taylor & Francis LTD, 2016)In this study, some relationships between quasidifferentiability and weakly subdifferentiability of a function are investigated, and some results on calculating the quasidifferential in terms of weak exhausters are presented. ... -
Weak subdifferential/superdifferential, weak exhausters and optimality conditions
Küçük, Mahide; Urbanski, Ryszard; Grzybowski, Jerzy; Küçük, Yalçın; Güvenc, İlknur Atasever; Tozkan, Didem; Soyertem, Mustafa (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. ...
