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Öğe Sayıların gizemli dünyası kültür ve edebiyatta sayı sembolizmi(Batman Üniversitesi, 2012-04) Bozkurt, Kenan; Bozkurt, HacerSayılar, 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 çıkarak kazandıkları değerlerle yeni bir kimliğe bürünür. Bu kimliğin belirleyicileri, her toplumun az çok alışverişte bulunduğu diğer toplumların kültürleri ve sosyal yaşantılarıdır. Temeli bilinmeyen zamanlarda atılmış dini inançlar, tecrübeler, esinlenmeler sayılar etrafında gelişen, nitel denilebilecek değerlerin kaynağı olarak gösterilebilir. Bu bildirimizde kültür ve edebiyatımızda sıkça kullanılan 1, 3ve 40 sayılarının sahip oldukları nitel anlamlar üzerinde durularak bu sayıların kullanımları örneklerle açıklanmaya çalışılmıştır.Öğe Some new results on inner product quasilinear spaces(Taylor & Francis, 2016-06-28) Bozkurt, Hacer; Yılmaz, YılmazIn 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 quasilinear functional analysis. Also, some examples have been given which provide an important information about the properties of floor of an inner product quasilinear space.Öğe Biquasilinear functionals on quasilinear spaces and some related results(Erzincan Üniversitesi, 2020-03-20) Bozkurt, Hacer; Yılmaz, YılmazIn 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 form will not need to have the constitution of an inner product quasilinear space. We were able to define these functionals in any quasilinear space. After giving this new notion, we discuss some examples and prove some theorems for considerable exercises to the theory of biquasilinear functionals in Hilbert quasilinear spacesÖğe Soft quasilinear spaces and soft normed quasilinear spaces(Adıyaman Üniversitesi, 2020-12-30) Bozkurt, HacerIn 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 examined such as quasilinear dependent and quasilinear independent. Also, the concept of soft quasi norm of soft quasilinear spaces is given. Lastly, soft quasilinear operators on soft normed quasilinear spaces are defined, and some results about the bounded soft quasilinear operators and continuous soft quasilinear operators are obtained.Öğe On inner product quasilinear spaces and hilbert quasilinear spaces(2016) Bozkurt, Hacer; Yılmaz, YılmazIn 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 differences of inner product quasilinear spaces from the inner product (linear) spacesÖğe Fixed point theorems under some contractive conditions in partial Hausdorff metric spaces(BİSKA Bilisim Company, 2019-09-29) Bozkurt, HacerIn 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 example as support of our results.Öğe New inner product quasilinear spaces on interval numbers(Hindawi, 2016) Bozkurt, Hacer; Yılmaz, YılmazPrimarily 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 dependence-independence and basis on quasilinear functional analysis, we obtain some results on IRn interval space related to these concepts. Secondly, we present Is,Ic0,Il∞, and Il2 quasilinear spaces and we research some algebraic properties of these spaces. We obtain some new results and provide an important contribution to the improvement of quasilinear functional analysis.Öğe Some new theorems in hilbert quasilinear spaces(Van Yüzüncü Yıl Üniversitesi, 2015) Bozkurt, Hacer; Yılmaz, YılmazThis 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 main examples: First example is a Hilbert quasilinear space, that does not satisfy the orthogonal decomposition and second example is subset of a Hilbert quasilinear space with the orthogonal decomposition properties. Then, we have from Örst example that any Hilbert quasilinear space may not satisfy the orthogonal decomposition theorem of Hilbert spaces. Finally, we give some results related to above theorems provide an important contributions to the improvement of the quasilinear functional analysis.Öğe Some new properties of inner product quasilinear spaces(University of Prishtina, 2016-03) Bozkurt, Hacer; Yılmaz, YılmazIn 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 of inner product quasilinear spaces. These results generalize recent well known results in the linear inner product spaces. Also, some examples have been given which provide an important contribution to understand the structure of inner product quasilinear spaces.Öğe Fixed point theorems for some multi-valued contraction mappings defined in partial Hausdorff metric spaces(2020-10-15) Bozkurt, HacerIn 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 commute with each other to have a common fixed point as in metric spaces. We also state an example in support of our conclusions.
