1,720,959 research outputs found
CONE METRIC SPACES AND SOME FIXED POINT THEOREMS
No full textBu çalışmada, konik metrik uzay üzerinde bazı temel topolojik yapılar ve
tanımlar genelleştirildi. Örneğin, dizisel kapalı küme, sınırlı ve tamamen sınırlı
kümeler, c - ağı, Lebesgue elemanı, kompakt küme, sürekli ve dizisel sürekli
dönüşümler. Ayrıca, her konik metrik uzayın topolojik uzay, birinci sayılabilir
topolojik uzay ve 4 T - uzayı olduğu ispatlandı. Konik metrik uzay üzerindeki
Baire'nin kategori teoremini ispatlamak için yoğun olmayan, birinci (Meager)
ve ikinci (Meager değil) kategoriden tanımlar verildi. Ayrıca, konik normlu
uzaylar ve konik Banach uzaylar tanımlandı. İki küme arasındaki uzaklık
konik metrik uzay üzerinde tanımlanarak, konik metrik uzaylar üzerinde bazı
örnekler verildi. Koniğin kuvvetli minihedral konik olduğu kabul edilerek, bazı
sabit nokta teoremleri elde etmek için konik metrik uzaylar üzerindeki çapsal
büzülebilir ve asimptotik çapsal büzülebilir dönüşümlerin tanımları verildi.
Sonuç olarak, konik metrik uzay üzerindeki iki nokta arasındaki skaler uzaklığı
tanımlayarak genelleştirilmiş büzülme dönüşümleri, bazı sabit nokta teoremleri
ve ortak sabit nokta teoremleri elde edildi.In this study, some topological concepts and definitions are generalized to cone
metric spaces such as: sequentially closed set, bounded and totally bounded sets,
c - net for sets, Lebesgue element, compact sets and continuous and sequentially
continuous mappings. It is proved that every cone metric space is topological
space, first countable topological space and 4 T - space. To prove Baire's
Category theorem in cone metric spaces, nowhere dense (Rare), Meager (first
category) and Nonmeager (second category) sets are defined. Also, cone normed
spaces, cone Banach spaces and the distance between two sets in cone metric
spaces are defined. Furthermore, accompanied with some examples. To obtain
some fixed point theorems in cone metric spaces, by assuming that the cone is a
strongly minihedral cone, diametrically contractive and asymptotically
diametrically contractive mappings are defined in cone metric spaces.
Finally, some fixed point theorems and common fixed points theorems of
generalized contraction mappings are obtained by defining the scalar distance
between two points in cone metric spaces
Cone metric spaces and fixed point theorems in diametrically contractive mappings
No full textIn this paper, some topological concepts and definitions are generalized to cone metric spaces. It is proved that every cone metric space is first countable topological space and that sequentially compact subsets are compact. Also, we define diametrically contractive mappings and asymptotically diametrically contractive mappings on cone metric spaces to obtain some fixed point theorems by assuming that our cone is strongly minihedral
Fixed Points of Mappings Satisfying a New Condition in Cone Metric Spaces
No full textIn this paper we proved some fixed points of mappings satisfying a new condition in cone metric spaces, where some of the main results of Ciric in [4] are recovered
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Some Theorems and Examples of Cone Banach Spaces
No full textIn this paper, by defining a cone norm parallel to.parallel to(A) on E over itself which behaves like the absolute value norm on R, we construct examples of cone Banach spaces. Namely, we define the m-Euclidian cone normed space E-m, E-infinity and the space C-E(S) of continuous functions in cones, to generalize the Banach spaces R-m, l(infinity) and C [a, b], respectively. Some basic lemmas and theorems are also proved to help in the construction and in the proof of completeness of the above mentioned examples of cone normed spaces
Fixed points of generalized contraction mappings in cone metric spaces
No full textIn this paper, we proved a fixed point theorem and a common fixed point theorem in cone metric spaces for generalized contraction mappings where some of the main results of Ciric in [8, 27] are recovered
Fixed points of generalized contraction mappings in cone metric spaces
No full textIn this paper, we proved a fixed point theorem and a common fixed point theorem in cone metric spaces for generalized contraction mappings where some of the main results of Ciric in [8, 27] are recovered
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
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