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Yalçın, Ceylan

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Profile URL
https://hdl.handle.net/20.500.12416/8710
Name Variants
Yalcin, Ceylan
Yalçin, Ceylan
Yalçin, C.
Job Title
Dr. Öğr. Üyesi
Email Address
cyalcin@cankaya.edu.tr
Main Affiliation
02.02. Matematik
Matematik
02. Fen-Edebiyat Fakültesi
01. Çankaya Üniversitesi
Status
Current Staff
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ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
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Scholarly Output

7

Articles

6

Views / Downloads

28/0

Supervised MSc Theses

1

Supervised PhD Theses

0

WoS Citation Count

2

Scopus Citation Count

0

WoS h-index

1

Scopus h-index

0

Patents

0

Projects

0

WoS Citations per Publication

0.29

Scopus Citations per Publication

0.00

Open Access Source

1

Supervised Theses

1

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Journal of New Theory1
Results in Nonlinear Analysis1
Turkish Journal of Mathematics and Computer Science1
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2024 - 20257
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Scholarly Output Search Results

Now showing 1 - 7 of 7
  • Thumbnail Image
    Article
    Statistical Convergence on B-Metric Spaces
    (Association of Mathematicians (MATDER), 2025) Yalçin, C.
    This paper investigates the idea of statistical convergence in the context of b-metric spaces. As a generalization of classical metric spaces, b-metric spaces offer a useful structure to examine the basic concepts of statistical convergence. The results indicate that b-metric spaces provide an impressive theoretical basis for both convergence theory and fixed point analysis. © MatDer.
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    Article
    Perturbed Statistical Convergence
    (Erdal Karapınar, 2025) Yalçin, Ceylan
    This paper examines the basic features of perturbed statistical convergence in the context of perturbed metric spaces. The suggested method expands on the standard concept of statistical convergence by using a perturbation function that shows the errors that might happen while measuring distance. The relations of this new type of convergence with classical and statistical convergence are discussed in detail. There are some examples and counterexamples that support the new theoretical results. © 2025 Elsevier B.V., All rights reserved.
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    Article
    Perturbed Statistical Cluster Points
    (2025) Yalçın, Ceylan
    In recent years, generalizations of statistical convergence have appeared in the literature. The notion of perturbed statistical convergence has recently been established as one such generalization. This recent convergence approach aims to enhance the convergence behavior of a sequence by utilizing specific perturbation functions, thereby increasing its flexibility. This paper defines cluster points related to perturbed statistical convergence and investigates some of their fundamental properties.
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    Article
    Citation - WoS: 2
    A Fixed Point Theorem for Ciric Type Contraction on Interpolative Metric Spaces
    (Yokohama Publ, 2024) Bilazeroglu, Seyma; Yalcin, Ceylan
    The purpose of this paper is is aimed at establishing a fixed point result in the framework of interpolative metric spaces, which has just been designated as a new research topic to prevent congestion in fixed point theory.
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    Master Thesis
    Suprametrik Uzaylarda Yakınsaklık Metotları
    (2025) Alişiroğlu, Pınar; Yalçın, Ceylan
    Bu tezde, dizi uzaylarında karşımıza çıkan yakınsaklık fikirlerinin, suprametrik uzaylara taşınması ve bu uzaylarda genelleştirilmiş yakınsaklık tiplerini incelemeyi amaçlamaktadır. İstatistiksel yakınsama, rough istatistiksel yakınsama ve lacunary istatistiksel yakınsama kavramları suprametrik uzaylardaki uygulamalarıyla birlikte sunulmaktadır. Tez, farklı yakınsama türlerinin temel özelliklerini, etkileşimlerini, güçlü yanlarını ve literatüre katkılarını analiz etmektedir. Ayrıca, yeni yöntemler için farklı örnek diziler sunulmuştur. Böylece, suprametrik yapının faydaları vurgulanmıştır. Bu yeni yöntemlerin teorik temelini desteklemek için çeşitli teoremler de ispatlanmıştır. Sonuçlar, beklenildiği gibi suprametrik yapıların standart metrik yapılara kıyasla daha esnek ve genel teoriler oluşturduğunu göstermektedir.
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    Article
    Α-Ψ Contracting Perimeters of Triangles
    (Yokohama Publ, 2025) Shahi, Priya; Bilazeroglu, Seyma; Yalcin, Ceylan
    This work presents an advanced development of the newly established idea of "contracting perimeters of triangles". Our current strategy, constructed with the help of functions alpha and Psi, both covers existing research and yields new results. The "alpha-Psi-mapping contracting perimeters of triangles" concept is defined in this study. The differences between this concept and the contracting perimeters of triangles is illustrated with examples. Fixed point theorems are obtained for this type of mappings under some conditions.
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    Article
    A Generalization of Fixed Point Result of Nonlinear Cirić Type Contraction on Suprametric Spaces
    (Univ Nis, Fac Sci Math, 2025) Yalcin, Ceylan; Bilazeroglu, Seyma
    In this study, the nonlinear technique: (psi,phi)-weak contraction, created by Dutta and Choudhury [6], is used to make the Ciric type contraction nonlinear. Moreover, it is demonstrated that there is unique fixed point in suprametric space for this nonlinear Ciric type contraction.