Browsing by Author "Karapinar,E."

Now showing 1 - 20 of 39

Citation - Scopus: 1
APPLICATIONS OF NON-UNIQUE FIXED POINT THEOREM OF CIRIC TO NONLINEAR INTEGRAL EQUATIONS
(Department of Mathematics and Computer Sciences, University of Prishtina, 2019) Sevіnіk-Adigіüzel,R.; Karapinar,E.; Erhan,I.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper we discuss the application of the non-unique fixed point theorem of Cirić to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples. © 2019 Universiteti i Prishtinës, Prishtinë, Kosovë.
Citation - Scopus: 44
Best Proximity Points of Kannan Type Cyclic Weak Ø-Contractions in Ordered Metric Spaces
(Ovidius University, 2012) Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, the existence of the best proximity of Kannan Type cyclic weak ø -contraction in ordered metric spaces is investigated. Some results of Rezapour-Derafshpour-Shahzad [22] are generalized.
Citation - Scopus: 3
Coincidence Points for Expansive Mappings Under C-Distance in Cone Metric Spaces
(2012) Aydi,H.; Karapinar,E.; Moradi,S.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We establish some fixed (common fixed) and coincidence point results for mappings verifying some expansive type contractions in cone metric spaces with the help of the concept of a c-distance. Our results generalize, extend, and unify several well-known comparable results in the literature. Some examples are also presented. Copyright © 2012 Hassen Aydi et al.
Citation - Scopus: 204
A common fixed point for weak øcontractions on b-metric spaces
(2012) Aydi,H.; Bota,M.-F.; Karapinar,E.; Moradi,S.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we give a common fixed point result for single-valued and multi-valued mappings satisfying a weak Øcontraction in b-metric spaces. Presented theorems extend, generalize and improve some existing results in the literature. Some examples are also given.
Citation - Scopus: 11
Different Types Meir-Keeler Contractions on Partial Metric Spaces
(2012) Erhan,I.M.; Karapinar,E.; Türkoǧlu,D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point. © 2012 EUDOXUS PRESS, LLC.
Citation - Scopus: 1
Discussion on the Equivalence of W-Distances With Ω-Distances
(Yokohama Publications, 2015) Roldán-López-De-Hierro,A.-F.; Karapınar, Erdal; Karapinar,E.; Karapınar, Erdal; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, we study some relationships between w-distances on metric spaces and Ω-distances on G*-metric spaces. Concretely we show that the class of all w-distances on metric spaces is a subclass of all Ω-distances on G*-metric spaces. Then, researchers must be careful because some recent results about w-distances (for instances, in the topic of fixed point theory) can be seen as simple consequences of their corresponding results about Ω-distances. In this sense, we show how to translate some results between different metric models. © 2015.
Citation - WoS: 11
Citation - Scopus: 7
Edelstein Type Fixed Point Theorems
(Tusi Mathematical Research Group, 2011) Karapinar,E.; Karapınar, Erdal; Karapınar, Erdal; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Recently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313-5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79]. © 2011, Duke University Press. All rights reserved.
Existence of Fixed Points for New Presic Type Multivalued Operators
(Yokohama Publications, 2017) Ali,M.U.; Kamran,T.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we shall generalize the convergence theorem introduced by Presic in 1965, by introducing the notions of a-Presic type contractive multivalued operators. We shall also construct some examples to prove the generality of our results. © 2017.
Citation - Scopus: 9
A Fixed Point Result for Boyd-Wong Cyclic Contractions in Partial Metric Spaces
(2012) Aydi,H.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
A fixed point theorem involving Boyd-Wong-type cyclic contractions in partial metric spaces is proved. We also provide examples to support the concepts and results presented herein. Copyright © 2012 Hassen Aydi and Erdal Karapinar.
Citation - Scopus: 53
Fixed Point Results for Generalized Α-Ʋ in Metric-Like Spaces and Applications
(Texas State University - San Marcos, 2015) Aydi,H.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this article, we introduce the concept of generalized α- ʋ -con- traction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fxed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered. © 2015 Texas State University - San Marcos.
Citation - Scopus: 5
Fixed Point Results in Orbitally Complete Partial Metric Spaces
(2013) Nashine,H.K.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we prove two fixed point theorems for maps that satisfy a contraction principle involving a rational expression in complete partial metric spaces.
Citation - Scopus: 28
Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions
(University of Miskolc, 2013) Karapinar,E.; Shatanawi,W.; Tas,K.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result. © Miskolc University Press.
Citation - Scopus: 7
Fixed Point Theory for Cyclic Generalized (φ-Φ) Mappings
(Springer-Verlag Italia s.r.l., 2013) Karapinar,E.; Moradi,S.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Fixed point results are presented for cyclic generalized (φ{symbol}-φ)-contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Ćirić, Moradi and Khojasteh, and Karapinar. © 2012 Università degli Studi di Ferrara.
Citation - Scopus: 16
Fixed Point Theory for the Α-Admissible Meir-Keeler Type Set Contractions Having Kkm* Property on Almost Convex Sets
(Natural Sciences Publishing, 2017) Chen,C.-M.; Abkar,A.; Ghods,S.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
The purpose of this paper is to study fixed points for the KKM* family satisfying the a-admissible Meir-Keeler-type set contractions with respect to the set measure σp of noncompactness in the context of Hausdorff topological vector spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature. Subject class: [2000]46T99,47H10, 54C60, 54H25, 55M20. © 2017 NSP.
Citation - Scopus: 108
Fixed Point Theory in Metric Type Spaces
(Springer International Publishing, 2016) Agarwal,R.P.; Karapinar,E.; O’regan,D.; Roldán-López-De-Hierro,A.F.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research. © David Ralph 2015.
Citation - Scopus: 73
Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems
(Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.
Citation - Scopus: 11
Fixed Points Results for Α -Admissible Mapping of Integral Type on Generalized Metric Spaces
(Hindawi Publishing Corporation, 2015) Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We introduce generalized (α,ψ)-contractive mappings of integral type in the context of generalized metric spaces. The results of this paper generalize and improve several results on the topic in literature. © 2015 Erdal Karapinar.
Citation - Scopus: 16
A gap in the paper a note on cone metric fixed point theory and its equivalence
(Gazi Universitesi, 2011) Abdeljawad,T.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
There is a gap in Theorem 2.2 of the paper of Du [1]. In this paper, we shall state the gap and repair it.
Citation - Scopus: 5
A Generalization of the Meir–keeler Type Contraction
(Elsevier B.V., 2012) Chi,K.P.; Karapinar,E.; Thanh,T.D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we prove a fixed point theorem which has applications on maps called T-contractions which include a class that satisfies the Meir–Keeler type contractive condition. We also present an example that illustrates that T-contractions are a natural extension of the Meir–Keeler type contraction. © 2012
Citation - Scopus: 1
Imperative Remarks for "on Common Coupled Fixed Point Theorems for Comparable Mappings in Ordered Partially Metric Spaces" and an Answer To the Question: How To Smooth It Away
(Hindawi Publishing Corporation, 2015) Alsulami,H.H.; Karapinar,E.; Roldán Lpez De Hierro,A.F.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We show that the main result in the work by Mutlu et al. is not true. We explain point by point some of its main mistakes and we propose an alternative version to smooth away the defects of it. © 2015 Hamed H. Alsulami et al.