Cuneyt Cevik | Gazi University (original) (raw)

Papers by Cuneyt Cevik

Research paper thumbnail of Coupled fixed point results for new classes of functions on ordered vector metric space

Acta mathematica Hungarica/Acta mathematica Academiae Scientiarum Hungaricae, Jan 31, 2024

Research paper thumbnail of On some fixed point theorems for ordered vectorial Ćirić-Prešić type contractions

The journal of analysis, Sep 26, 2022

Research paper thumbnail of Completion of Multiplicative Metric Spaces

gazi university journal of science, 2016

In this study a completion theorem for multiplicative metric spaces is proved. The completion spa... more In this study a completion theorem for multiplicative metric spaces is proved. The completion spaces are defined by means of an equivalence relation obtained by multiplicative convergence via the multiplicative absolute value of an ordered field generated by the exponential function on R.

Research paper thumbnail of Generated fuzzy metric spaces and some topological properties

Journal of Intelligent and Fuzzy Systems, Jul 27, 2018

We generalize the concept of fuzzy metric space in the sense of George and Veeramani by presentin... more We generalize the concept of fuzzy metric space in the sense of George and Veeramani by presenting the definition of generated fuzzy metric space and generated fuzzy bonded metric space. We prove also some known results of metric spaces including Baire's theorem for generated fuzzy metric spaces through α-defective diameter.

Research paper thumbnail of Prešić Type Operators on Ordered Vector Metric Spaces

Journal of Science and Arts, 2021

In this paper we present a fixed point theorem for order-preserving Prešić type operators on orde... more In this paper we present a fixed point theorem for order-preserving Prešić type operators on ordered vector metric spaces. This result extends many results in the literature obtained for Prešić type operators both on metric spaces and partially ordered metric spaces. We also emphasize the relationships between our work and the previous ones in the literature. Finally we give an example showing the fact that neither results for Prešić type contractions on metric spaces nor the results for ordered Prešić type contractions on ordered metric space is applicable to it.

Research paper thumbnail of A Note on The Equivalence of Some Metric and Non-Newtonian Metric Results

In this short note is on the equivalence between non-Newtonian metric (particularly multiplicati... more In this short note is on the equivalence between non-Newtonian metric (particularly multiplicative metric) and metric. We present a different proof the fact that the notion of a non-Newtonian metric space is not more general than that of a metric space. Also, we emphasize that a lot of fixed point results in the non-Newtonian metric setting can be directly obtained from their metric counterparts.

Research paper thumbnail of Unbounded Vectorial Cauchy Completion of Vector Metric Spaces

GAZI UNIVERSITY JOURNAL OF SCIENCE, 2020

Highlights • Unbounded vectorial convergence in vector metric spaces is studied. • Relations betw... more Highlights • Unbounded vectorial convergence in vector metric spaces is studied. • Relations between uo-convergence and ,-convergence are examined. • An unbounded Cauchy completion of any vector metric space is constructed. • A more general completion of vector metric spaces is obtained.

Research paper thumbnail of On the ideal centre of the space of vector valued integrable functions

Positivity, 2008

Bochner integrable functions. Some order properties of L 1 (µ, E) are given. It is shown that L ∞... more Bochner integrable functions. Some order properties of L 1 (µ, E) are given. It is shown that L ∞ s (µ, Z(E)) is the ideal centre of L 1 (µ, E) and it is obtained a Radon-Nikodym type theorem for B-integrable functions.

Research paper thumbnail of Some common fixed point theorems in vector metric spaces

Filomat, 2011

In this paper we give some theorems on point of coincidence and common fixed points for two self ... more In this paper we give some theorems on point of coincidence and common fixed points for two self mappings satisfying some general contractive conditions in vector metric spaces. Our results generalize some well-known recent results.

Research paper thumbnail of Some common fixed point theorems in vector metric spaces

Filomat, 2011

In this paper we give some theorems on point of coincidence and common fixed points for two self ... more In this paper we give some theorems on point of coincidence and common fixed points for two self mappings satisfying some general contractive conditions in vector metric spaces. Our results generalize some well-known recent results.

Research paper thumbnail of A note on the equivalence of some metric, non-Newtonian and multiplicative metric results

arXiv: Functional Analysis, 2016

In this short note is on the equivalence between non-Newtonian metric (particularly multiplicativ... more In this short note is on the equivalence between non-Newtonian metric (particularly multiplicative metric) and metric. We present a different proof the fact that the notion of a non-Newtonian metric space is not more general than that of a metric space. Also, we emphasize that a lot of fixed point results in the non-Newtonian metric setting can be directly obtained from their metric counterparts.

Research paper thumbnail of Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

Mathematics

In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contrac... more In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature.

Research paper thumbnail of Fuzzy vector metric spaces and some results

The Journal of Nonlinear Sciences and Applications

The aim of this paper is to enrich the theory of fuzzy metric spaces through vectors. Additionall... more The aim of this paper is to enrich the theory of fuzzy metric spaces through vectors. Additionally we define the concept of fuzzy vector diameter to be able to prove Cantor's intersection theorem and Baire's theorem in a different way.

Research paper thumbnail of Some fixed point theorems for contractive mapping in ordered vector metric spaces

The Journal of Nonlinear Sciences and Applications, 2017

In this paper, considering an order relation on a vector metric space which is introduced by Ç ev... more In this paper, considering an order relation on a vector metric space which is introduced by Ç evik and Altun in 2009, we present some fundamental fixed point results. Then, we provide some nontrivial examples show that the investigation of this work is significant.

Research paper thumbnail of Vector metric spaces and some properties

Topological Methods in Nonlinear Analysis, 2009

Research paper thumbnail of Completion of Vector Metric Spaces

Gazi University Journal of Science, 2015

Research paper thumbnail of Continuity in Vector Metric Spaces

We introduce vectorial and topological continuities for functions defined on vector metric spaces... more We introduce vectorial and topological continuities for functions defined on vector metric spaces and illustrate spaces of such functions. Also, we describe some fundamental classes of vector valued functions and extension theorems.

Research paper thumbnail of On Continuity of Functions between Vector Metric Spaces

Journal of Function Spaces, 2014

We introduce vectorial and topological continuities for functions defined on vector metric spaces... more We introduce vectorial and topological continuities for functions defined on vector metric spaces and illustrate spaces of such functions. Also, we describe some fundamental classes of vector valued functions and extension theorems.

Research paper thumbnail of Coupled fixed point results for new classes of functions on ordered vector metric space

Acta mathematica Hungarica/Acta mathematica Academiae Scientiarum Hungaricae, Jan 31, 2024

Research paper thumbnail of On some fixed point theorems for ordered vectorial Ćirić-Prešić type contractions

The journal of analysis, Sep 26, 2022

Research paper thumbnail of Completion of Multiplicative Metric Spaces

gazi university journal of science, 2016

In this study a completion theorem for multiplicative metric spaces is proved. The completion spa... more In this study a completion theorem for multiplicative metric spaces is proved. The completion spaces are defined by means of an equivalence relation obtained by multiplicative convergence via the multiplicative absolute value of an ordered field generated by the exponential function on R.

Research paper thumbnail of Generated fuzzy metric spaces and some topological properties

Journal of Intelligent and Fuzzy Systems, Jul 27, 2018

We generalize the concept of fuzzy metric space in the sense of George and Veeramani by presentin... more We generalize the concept of fuzzy metric space in the sense of George and Veeramani by presenting the definition of generated fuzzy metric space and generated fuzzy bonded metric space. We prove also some known results of metric spaces including Baire's theorem for generated fuzzy metric spaces through α-defective diameter.

Research paper thumbnail of Prešić Type Operators on Ordered Vector Metric Spaces

Journal of Science and Arts, 2021

In this paper we present a fixed point theorem for order-preserving Prešić type operators on orde... more In this paper we present a fixed point theorem for order-preserving Prešić type operators on ordered vector metric spaces. This result extends many results in the literature obtained for Prešić type operators both on metric spaces and partially ordered metric spaces. We also emphasize the relationships between our work and the previous ones in the literature. Finally we give an example showing the fact that neither results for Prešić type contractions on metric spaces nor the results for ordered Prešić type contractions on ordered metric space is applicable to it.

Research paper thumbnail of A Note on The Equivalence of Some Metric and Non-Newtonian Metric Results

In this short note is on the equivalence between non-Newtonian metric (particularly multiplicati... more In this short note is on the equivalence between non-Newtonian metric (particularly multiplicative metric) and metric. We present a different proof the fact that the notion of a non-Newtonian metric space is not more general than that of a metric space. Also, we emphasize that a lot of fixed point results in the non-Newtonian metric setting can be directly obtained from their metric counterparts.

Research paper thumbnail of Unbounded Vectorial Cauchy Completion of Vector Metric Spaces

GAZI UNIVERSITY JOURNAL OF SCIENCE, 2020

Highlights • Unbounded vectorial convergence in vector metric spaces is studied. • Relations betw... more Highlights • Unbounded vectorial convergence in vector metric spaces is studied. • Relations between uo-convergence and ,-convergence are examined. • An unbounded Cauchy completion of any vector metric space is constructed. • A more general completion of vector metric spaces is obtained.

Research paper thumbnail of On the ideal centre of the space of vector valued integrable functions

Positivity, 2008

Bochner integrable functions. Some order properties of L 1 (µ, E) are given. It is shown that L ∞... more Bochner integrable functions. Some order properties of L 1 (µ, E) are given. It is shown that L ∞ s (µ, Z(E)) is the ideal centre of L 1 (µ, E) and it is obtained a Radon-Nikodym type theorem for B-integrable functions.

Research paper thumbnail of Some common fixed point theorems in vector metric spaces

Filomat, 2011

In this paper we give some theorems on point of coincidence and common fixed points for two self ... more In this paper we give some theorems on point of coincidence and common fixed points for two self mappings satisfying some general contractive conditions in vector metric spaces. Our results generalize some well-known recent results.

Research paper thumbnail of Some common fixed point theorems in vector metric spaces

Filomat, 2011

In this paper we give some theorems on point of coincidence and common fixed points for two self ... more In this paper we give some theorems on point of coincidence and common fixed points for two self mappings satisfying some general contractive conditions in vector metric spaces. Our results generalize some well-known recent results.

Research paper thumbnail of A note on the equivalence of some metric, non-Newtonian and multiplicative metric results

arXiv: Functional Analysis, 2016

In this short note is on the equivalence between non-Newtonian metric (particularly multiplicativ... more In this short note is on the equivalence between non-Newtonian metric (particularly multiplicative metric) and metric. We present a different proof the fact that the notion of a non-Newtonian metric space is not more general than that of a metric space. Also, we emphasize that a lot of fixed point results in the non-Newtonian metric setting can be directly obtained from their metric counterparts.

Research paper thumbnail of Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

Mathematics

In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contrac... more In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature.

Research paper thumbnail of Fuzzy vector metric spaces and some results

The Journal of Nonlinear Sciences and Applications

The aim of this paper is to enrich the theory of fuzzy metric spaces through vectors. Additionall... more The aim of this paper is to enrich the theory of fuzzy metric spaces through vectors. Additionally we define the concept of fuzzy vector diameter to be able to prove Cantor's intersection theorem and Baire's theorem in a different way.

Research paper thumbnail of Some fixed point theorems for contractive mapping in ordered vector metric spaces

The Journal of Nonlinear Sciences and Applications, 2017

In this paper, considering an order relation on a vector metric space which is introduced by Ç ev... more In this paper, considering an order relation on a vector metric space which is introduced by Ç evik and Altun in 2009, we present some fundamental fixed point results. Then, we provide some nontrivial examples show that the investigation of this work is significant.

Research paper thumbnail of Vector metric spaces and some properties

Topological Methods in Nonlinear Analysis, 2009

Research paper thumbnail of Completion of Vector Metric Spaces

Gazi University Journal of Science, 2015

Research paper thumbnail of Continuity in Vector Metric Spaces

We introduce vectorial and topological continuities for functions defined on vector metric spaces... more We introduce vectorial and topological continuities for functions defined on vector metric spaces and illustrate spaces of such functions. Also, we describe some fundamental classes of vector valued functions and extension theorems.

Research paper thumbnail of On Continuity of Functions between Vector Metric Spaces

Journal of Function Spaces, 2014

We introduce vectorial and topological continuities for functions defined on vector metric spaces... more We introduce vectorial and topological continuities for functions defined on vector metric spaces and illustrate spaces of such functions. Also, we describe some fundamental classes of vector valued functions and extension theorems.