Kübra ÖZKAN - Academia.edu (original) (raw)

Papers by Kübra ÖZKAN

In this article, we introduce concepts of , λ -uniformly locally contractive and weakly contract... more In this article, we introduce concepts of , λ -uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of fixed point for these mappings. bipolar metric space, -chainable, , λ -uniformly locally contractive, weakly contractive, fixed point.

European Journal of Pure and Applied Mathematics, 2017

In this article, certain coupled fixed point theorems, which can be considered as generalizations... more In this article, certain coupled fixed point theorems, which can be considered as generalizations of Banach fixed point theorem, are extended to bipolar metric spaces. Also, some results which are related to these theorems are obtained. Finally, it is given an example which presents to the applicability of obtained results.

In this article, we prove a fixed point theorem, which is generalization of Banach fixed point th... more In this article, we prove a fixed point theorem, which is generalization of Banach fixed point theorem and characterizes the metric completeness, for contravariant mapping on bipolar metric spaces. And, we give some results related to this fixed point theorem.

In this paper, we introduce the notion of α-ψ contractive type covariant and contravariant mappin... more In this paper, we introduce the notion of α-ψ contractive type covariant and contravariant mappings in the bipolar metric spaces, which provides a framework to study distances between dissimilar objects. In addition this, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-ψ contractive type covariant and contravariant mappings in complete bipolar metric spaces. On the other hand, we observe that some known fixed point theorems as Banach’s and coupled are simple consequences of our obtained results. Once and for all, we state some examples to show usability of our main results.

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021

In this article, we introduce the notion of complex valued modular metric spaces. We also a prove... more In this article, we introduce the notion of complex valued modular metric spaces. We also a prove generalization of Banach Fixed Point Theorem, which is one of the most simple and signi…cant tests for existence and uniqueness of solution of problems arising in mathematics and engineering for complex valued modular metric spaces. In addition, we express some results related to these spaces. Finally, we give an application of our results to digital programming.

Fixed Point Theory, 2021

In this paper, we give some new fixed point results over bipolar metric spaces, that extend Caris... more In this paper, we give some new fixed point results over bipolar metric spaces, that extend Caristi's and Downing-Kirk's fixed point theorems.

International Journal of Analysis and Applications, 2018

In this article, we first give a new fixed point theorem which is main theorem of our study in mo... more In this article, we first give a new fixed point theorem which is main theorem of our study in modular metric spaces. After that, by using this theorem, we express some interesting results. Moreover, we characterize completeness in modular metric spaces via this theorem. Finally, we use our main result to show the existence of solution for a specific problem in dynamic programming.

Journal of Advanced Studies in Topology, 2017

In this study, it has been intended to create an approach providing to get Wallman-type compacti…... more In this study, it has been intended to create an approach providing to get Wallman-type compacti…cation of ditopological texture space. For this purpose, the concept of normal basewell-known in general topology is relocated to ditopological texture space. We get the Wallmancompacti…cation of ditopological texture space by de…ning normal base ,co-normal base.

Abstract and Applied Analysis, 2012

We give some initial properties of a subset of modular metric spaces and introduce some fixed-poi... more We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020

In this article, some coupled fixed point theorems for F-contraction mappings in complete metric ... more In this article, some coupled fixed point theorems for F-contraction mappings in complete metric spaces are proved. In addition, some results related to these theorems are given.

Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 2018

In this paper, we introduce functionally generalized normed spaces as a generalization of G  met... more In this paper, we introduce functionally generalized normed spaces as a generalization of G  metric spaces and normed spaces. Some constructions are described within this structure and some related results are obtained.

In this article, we introduce concepts of , λ -uniformly locally contractive and weakly contract... more In this article, we introduce concepts of , λ -uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of fixed point for these mappings. bipolar metric space, -chainable, , λ -uniformly locally contractive, weakly contractive, fixed point.

European Journal of Pure and Applied Mathematics, 2017

In this article, certain coupled fixed point theorems, which can be considered as generalizations... more In this article, certain coupled fixed point theorems, which can be considered as generalizations of Banach fixed point theorem, are extended to bipolar metric spaces. Also, some results which are related to these theorems are obtained. Finally, it is given an example which presents to the applicability of obtained results.

In this article, we prove a fixed point theorem, which is generalization of Banach fixed point th... more In this article, we prove a fixed point theorem, which is generalization of Banach fixed point theorem and characterizes the metric completeness, for contravariant mapping on bipolar metric spaces. And, we give some results related to this fixed point theorem.

In this paper, we introduce the notion of α-ψ contractive type covariant and contravariant mappin... more In this paper, we introduce the notion of α-ψ contractive type covariant and contravariant mappings in the bipolar metric spaces, which provides a framework to study distances between dissimilar objects. In addition this, we prove some fixed point theorems, which give existence and uniqueness of fixed point, for α-ψ contractive type covariant and contravariant mappings in complete bipolar metric spaces. On the other hand, we observe that some known fixed point theorems as Banach’s and coupled are simple consequences of our obtained results. Once and for all, we state some examples to show usability of our main results.

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021

In this article, we introduce the notion of complex valued modular metric spaces. We also a prove... more In this article, we introduce the notion of complex valued modular metric spaces. We also a prove generalization of Banach Fixed Point Theorem, which is one of the most simple and signi…cant tests for existence and uniqueness of solution of problems arising in mathematics and engineering for complex valued modular metric spaces. In addition, we express some results related to these spaces. Finally, we give an application of our results to digital programming.

Fixed Point Theory, 2021

In this paper, we give some new fixed point results over bipolar metric spaces, that extend Caris... more In this paper, we give some new fixed point results over bipolar metric spaces, that extend Caristi's and Downing-Kirk's fixed point theorems.

International Journal of Analysis and Applications, 2018

In this article, we first give a new fixed point theorem which is main theorem of our study in mo... more In this article, we first give a new fixed point theorem which is main theorem of our study in modular metric spaces. After that, by using this theorem, we express some interesting results. Moreover, we characterize completeness in modular metric spaces via this theorem. Finally, we use our main result to show the existence of solution for a specific problem in dynamic programming.

Journal of Advanced Studies in Topology, 2017

In this study, it has been intended to create an approach providing to get Wallman-type compacti…... more In this study, it has been intended to create an approach providing to get Wallman-type compacti…cation of ditopological texture space. For this purpose, the concept of normal basewell-known in general topology is relocated to ditopological texture space. We get the Wallmancompacti…cation of ditopological texture space by de…ning normal base ,co-normal base.

Abstract and Applied Analysis, 2012

We give some initial properties of a subset of modular metric spaces and introduce some fixed-poi... more We give some initial properties of a subset of modular metric spaces and introduce some fixed-point theorems for multivalued mappings under the setting of contraction type. An appropriate example is as well provided. The stability of fixed points in our main theorems is also studied.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020

In this article, some coupled fixed point theorems for F-contraction mappings in complete metric ... more In this article, some coupled fixed point theorems for F-contraction mappings in complete metric spaces are proved. In addition, some results related to these theorems are given.

Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 2018

In this paper, we introduce functionally generalized normed spaces as a generalization of G  met... more In this paper, we introduce functionally generalized normed spaces as a generalization of G  metric spaces and normed spaces. Some constructions are described within this structure and some related results are obtained.