Yazar "Küçük, Yalçın" için listeleme
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Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions
Küçük, Yalçın; Güvenc, İlknur Atasever; Küçük, Mahide (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 ... -
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. ... -
A vectorization for nonconvex set-valued optimization
Karaman, Emrah; Atasever Güvenc, İlknur; Soyertem, Mustafa; Tozkan, Didem; Küçük, Mahide; Küçük, Yalçın (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 ... -
Vectorization of set-valued maps with respect to total ordering cones and its applications to set-valued optimization problems
Küçük, Mahide; Soyertem, Mustafa; Küçük, Yalçın; Güvenc, İlknur Atasever (Academic Press Inc Elsevier Science, 2012)As a result of our previous studies on finding the minimal element of a set in n-dimensional Euclidean space with respect to a total ordering cone, we introduced a method which we call "The Successive Weighted Sum Method" ... -
Weak Fenchel and weak Fenchel-Lagrange conjugate duality for nonconvex scalar optimization problems
Küçük, Yalçın; Güvenc, İlknur Atasever; Küçük, Mahide (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 ... -
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. ... -
Yarı sürekli fonksiyonların proximal subgradientleri
Yıldırımer, Gonca (Anadolu Üniversitesi, 2002)Bu çalışmada, kontrol teoride, optimizasyon teorisinde ve viability teorisinde geniş uygulama alanları bulmuş olan proximal subdiferansiyelin özellikleri incelenmiştir. Proximal subdiferansiyel, alttan yarı sürekli ... -
Zayıf eşlenik duallik ve konveks olmayan optimizasyon
Atasever, İlknur (Anadolu Üniversitesi, 2011)Bu çalışmada, [13]’de tanımlanan zayıf eşlenik dönüşümler kullanılarak konveks olmayan kısıtlı gerçel optimizasyon problemleri için zayıf Fenchel (DwF) ve zayıf Fenchel-Lagrange (DwFL) dual problemleri oluşturulmuştur. Bu ...