Yazar "Küçük, Mahide" için listeleme
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Diferansiyel içermelerin çözümlerinin varlığı ve özellikleri
İzgi, Serpil (Anadolu Üniversitesi, 2001)Bu çalışmada diferansiyel içermelerin çözümlerinin varlığı araştırılmıştır. Bu amaçla önce diğer bölümlerde kullanılan temel tanım ve teoremler sunulmuştur. İkinci bölümde sağ tarafı konveks kompakt değerli küme değerli ... -
Diferansiyel İçermelerin İntegral Tüneline Ait Bir Özellik
İzgi, Serpil; Küçük, Mahide (Anadolu Üniversitesi, 2002)Bu çalışmada başlangıç kümesinin dışından alman bir x ͙ noktası için diferansiyel içermenin bu noktadan geçen ve her zaman integral tünelin dışında kalan en az bir çözümün varlığı araştırıldı. Bu problem konveks başlangıç ... -
Eşleniklik, kuasidiferansiyellenebilme ve konveks olmayan optimizasyon
Tozkan, Didem (Anadolu Üniversitesi, 2014)Pozitif homojen fonksiyonlar için Küçük ve ark. [41] tarafından geliştirilen zayıf alt/üst exhauster kavramları zayıf subdiferansiyel/süperdiferansiyel ve exhausterlar arasındaki ilişkiler yardımıyla kurulmuş ve exhausterların ... -
The generalization of total ordering cones and vectorization to separable Hilbert spaces
Küçük, Mahide; Soyertem, Mustafa; Küçük, Yalçın (Academic Press Inc Elsevier Science, 2012)The characterization of total ordering cones of R-n was given with some properties and optimality conditions in Kucuk et al. (2011) W. In addition, total ordering cones were used to derive a vector valued function from a ... -
Generalized weak subdifferentials
Küçük, Yalçın; Güvenc, İlknur Atasever; Küçük, Mahide (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 ... -
Konveks analizde eşleniklik
Tokaslan, Didem (Anadolu Üniversitesi, 2009)Duallik kavramı matematiğin birçok alanında ortaya çıkar. Matematikçiler bir problemle karşılaşınca bu problemi, görünüşü orijinal problemden oldukça farklı fakat çözümü daha kolay olan başka bir probleme dönüştürüp çözmek ... -
Küme değerli dönüşümlerin selektörleri ve parametrelendirilmesi
Fidan, Ayşe (Anadolu Üniversitesi, 2000)Bu çalışma, küme değerli dönüşümlerin sürekli ve Lipschitz selektörlerinin varlığı ve küme değerli dönüşümlerin parametrelendirmesi problemini içeren derleme niteliğinde bir çalışmadır. Çalışma dört bölümden oluşmuştur. ... -
Large margin classifiers based on affine hulls
Çevikalp, Hakan; Triggs, Bill; Yavuz, Hasan Serhan; Küçük, Yalçın; Küçük, Mahide; Barkana, Atalay (Elsevier Science BV, 2010)This paper introduces a geometrically inspired large margin classifier that can be a better alternative to the support vector machines (SVMs) for the classification problems with limited number of training samples. In ... -
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 constructing total orders and solving vector optimization problems with total orders
Küçük, Mahide; Soyertem, Mustafa; Küçük, Yalçın (Springer, 2011)In this paper, we introduce a construction method of total ordering cone on R(n). It is shown that any total ordering cone on Rn is isomorphic to the cone R(lex)(n). Existence of a total ordering cone that contain given ... -
On generalized weak subdifferentials and some properties
Küçük, Yalçın; Güvenc, İlknur Atasever; Küçük, Mahide (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 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 ... -
On solution of boundary value problem for differential inclusion
Küçük, Mahide; Guseinov, Khalik G.; Küçük, Yalçın (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 ... -
On some geometric conditions for minimality of DCH-functions via DC-duality approach
Küçük, Mahide; Tozkan, Didem; Küçük, Yalçın (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 ... -
On the Scalarization of Set-Valued Optimization Problems with Respect to Total Ordering Cones
Küçük, Mahide; Soyertem, Mustafa; Küçük, Yalçın (Springer-Verlag Berlin, 2011)A construction method of total ordering cone on n dimensional Euclidean space was given, it was shown that any total ordering cone is isomorphic to the lexicographic cone, also, existence of a total ordering cone that ... -
On unified theory for continuities
Küçük, Mahide; Küçük, Yalçın (2002)The purpose of this study is to give a unified theory for some weak and strong continuous functions using operations -
Partial order relations on family of sets and scalarizations for set optimization
Karaman, Emrah; Soyertem, Mustafa; Güvenc, İlknur Atasever; Tozkan, Didem; Küçük, Mahide; Küçük, Yalçın (Springer, 2018)In this study, some new order relations on family of sets are introduced by using Minkowski difference. The relations between these orders and the ordering cone of the vector space are obtained. It is shown that depending ... -
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 ... -
The relationship between online learners’ learning styles and learning strategies [çevrimiçi öğrenenlerin öğrenme biçimi ve öğrenme stratejileri arasindaki ilişki]
Küçük, Mahide (Hacettepe University, 2012)Aim of this study is to determine the relationship between students’ learning styles and learning strategies in an online learning environment. Data regarding students’ learning styles were collected by using the Kolb ... -
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 ...
