Browsing by Author "Bozkurt, Hacer"
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Biquasilinear functionals on quasilinear spaces and some related results
Bozkurt, Hacer; Yılmaz, Yılmaz (Erzincan Üniversitesi, 2020-03-20)In this paper, we will present the notion of the biquasilinear functional which is a new concept of quasilinear functional analysis. Just like bilinear functional, the notions of a biquasilinear functional and a quadratic ... -
Equivalent normed quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (Iksad Publications, 2018)Aseev introduced the concepts of quasilinear spaces and normed quasilinear spaces, in his article [1]. He used the partial order relation to define quasilinear spaces. He stated properties and results which are quasilinear ... -
Fixed point theorems for some multi-valued contraction mappings defined in partial Hausdorff metric spaces
Bozkurt, Hacer (2020-10-15)In this paper, we give some fixed point theorems for satisfying different contractive conditions on complete partial Hausdorff metric spaces. Also, we prove some fixed point theorems for two operators that do not necessarily ... -
Fixed point theorems under some contractive conditions in partial Hausdorff metric spaces
Bozkurt, Hacer (BİSKA Bilisim Company, 2019-09-29)In this paper, we investigate some set-valued contraction mappings in partial Hausdorff metric spaces and prove the existence of fixed point of this set-valued mappings in partial Hausdorff metric spaces. We also give an ... -
New inner product quasilinear spaces on interval numbers
Bozkurt, Hacer; Yılmaz, Yılmaz (Hindawi, 2016)Primarily we examine the new example of quasilinear spaces, namely, "IRn interval space." We obtain some new theorems and results related to this new quasilinear space. After giving some new notions of quasilinear ... -
New inner product quasilinear spaces on interval numbers
Bozkurt, Hacer; Yılmaz, Yılmaz (Matematikçiler Derneği, 2017)Aseev [2] launched a new branch of functional analysis by introducing the concept of quasilinear spaces which is generalization of classical linear spaces. He proceeds, in a similar way to linear functional analysis on ... -
On inner product quasilinear spaces and hilbert quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (2016)In this paper, we state some properties of inner product quasilinear spaces. Moreover we introduce the concepts of inner product Ω-space, Hilbert Ω-space and investigate some related theorems. Also, we establish some ... -
On Orthonormal sets in inner product quasilinear spaces
Yılmaz, Yılmaz; Bozkurt, Hacer; Çakan, Sümeyye (Tehnical University of Cluj, 2016-05) -
On some maps with P and Q properties in non normal cone metric spaces
Bozkurt, Hacer; Öztürk, Mahpeyker; Başarır, Metin (TOBB Ekonomi ve Teknoloji Üniversitesi, 2010) -
Quasilineer uzaylarda bazı yeni sonuçlar
Bozkurt, Hacer; Yılmaz, Yılmaz (Türk Matematik Derneği, 2017) -
Sayıların gizemli dünyası kültür ve edebiyatta sayı sembolizmi
Bozkurt, Kenan; Bozkurt, Hacer (Batman Üniversitesi, 2012-04)Sayılar, günlük hayatta nicel değerlendirmelerin temel elemanı olarak yer alan bir işaretler sistemidir. Nicelik yönünden, zaman ve mekân üzerinde konumlandıran bu sistem, günlük hayatta matematiksel kullanımlarının dışına ... -
Soft quasilinear spaces and soft normed quasilinear spaces
Bozkurt, Hacer (Adıyaman Üniversitesi, 2020-12-30)In this study, a recent concepts of soft quasilinear spaces and soft proper quasilinear spaces are presented. Further, soft quasi vectors in soft quasilinear spaces are investigated, and several related properties are ... -
Some new properties of inner product quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (Iksad Publications, 2018)The theory of quasilinear analysis is one of the fundamental theories in nonlinear analysis which has various applications such as integral and differential equations, approximation theory and bifurcation theory. ... -
Some new properties of inner product quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (University of Prishtina, 2016-03)In the present paper, we introduce over symmetric set on a inner product quasilinear spaces. We establish some new results related to this new concept. Further, we obtain new conclusions for orthogonal and orthonormal subspaces ... -
Some new results on inner product quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (Taylor & Francis, 2016-06-28)In this article, we research on the properties of the floor of an element taken from an inner product quasilinear space. We prove some theorems related to this new concept. Further, we try to explore some new results in ... -
Some new results on inner product quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (Matematikçiler Derneği, 2017)Aseev in [1] introduced the theory of quasilinear spaces which is generalization of classical linear spaces. He used the partial order relation when he defined the quasilinear spaces and so he can give consistent ... -
Some new theorems in hilbert quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (Van Yüzüncü Yıl Üniversitesi, 2015)This study is concerned with the some new theorems and deÖnitions in Hilbert quasilinear spaces. First, we introduce minimizing vector theorem and some results in Hilbert quasilinear spaces. Next, we provide two ... -
Some properties of orthonormal sets on inner product quasilinear spaces
Bozkurt, Hacer; Yılmaz, Yılmaz (Matematikçiler Derneği, 2016)Aseev introduced the notion of quasilinear space and normed quasilinear space [1]. Then he gives some basic definition and theorems related to these spaces. We can see in [1] that, as different from linear spaces, Aseev ...