Browsing by Author "Karapinar, E."

Now showing 1 - 20 of 21

Citation - WoS: 21
Citation - Scopus: 19
Automatic Continuity of Surjective n-homomorphisms on Banach Algebras
(Iranian Mathematical Soc, 2015) Gordji, M. Eshaghi; Jabbari, A.; Karapinar, E.; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we show that every surjective n-homomorphism (n-anti-homomorphism) from a Banach algebra A into a semisimple Banach algebra B is continuous.
Citation - WoS: 10
Citation - Scopus: 12
Best Proximity Points of Generalized Semicyclic Impulsive Self-Mappings: Applications To Impulsive Differential and Difference Equations
(Hindawi Ltd, 2013) De la Sen, M.; Karapinar, E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
This paper is devoted to the study of convergence properties of distances between points and the existence and uniqueness of best proximity and fixed points of the so-called semicyclic impulsive self-mappings on the union of a number of nonempty subsets in metric spaces. The convergences of distances between consecutive iterated points are studied in metric spaces, while those associated with convergence to best proximity points are set in uniformly convex Banach spaces which are simultaneously complete metric spaces. The concept of semicyclic self-mappings generalizes the well-known one of cyclic ones in the sense that the iterated sequences built through such mappings are allowed to have images located in the same subset as their pre-image. The self-mappings under study might be in the most general case impulsive in the sense that they are composite mappings consisting of two self-mappings, and one of them is eventually discontinuous. Thus, the developed formalism can be applied to the study of stability of a class of impulsive differential equations and that of their discrete counterparts. Some application examples to impulsive differential equations are also given.
Citation - WoS: 13
Citation - Scopus: 13
Coincidence Point Theorems on Quasi-Metric Spaces Via Simulation Functions and Applications To g-metric Spaces
(Springer Basel Ag, 2018) Lopez de Hierro, A. F. Roldan; Karapinar, E.; O'Regan, D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we present some coincidence point results in the framework of quasi-metric spaces using contractive conditions involving simulation functions. As consequences, we are able to particularize these results to a variety of situations including G-metric spaces. The results presented in this paper generalize and extend several comparable results in the existing literature. In addition, some examples are given.
Citation - WoS: 6
Citation - Scopus: 9
Cyclic (φ)-Contractions in Uniform Spaces and Related Fixed Point Results
(Hindawi Ltd, 2014) Hussain, N.; Karapinar, E.; Sedghi, S.; Shobkolaei, N.; Firouzian, S.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
First, we define cyclic (phi)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (phi)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.
Citation - WoS: 7
Citation - Scopus: 9
Cyclic Contractions and Related Fixed Point Theorems on g-metric Spaces
(Natural Sciences Publishing Corp-nsp, 2014) Bilgili, N.; Erhan, I. M.; Karapinar, E.; Turkoglu, D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
Citation - WoS: 10
Citation - Scopus: 16
Cyclic Contractions on g-metric Spaces
(Hindawi Ltd, 2012) Karapinar, E.; Yildiz-Ulus, A.; Erhan, I. M.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Conditions for existence and uniqueness of fixed points of two types of cyclic contractions defined on G-metric spaces are established and some illustrative examples are given. In addition, cyclic maps satisfying integral type contractive conditions are presented as applications.
Citation - WoS: 12
DIFFERENT TYPES MEIR-KEELER CONTRACTIONS ON PARTIAL METRIC SPACES
(Eudoxus Press, Llc, 2012) Erhan, I. M.; Karapinar, E.; Turkoglu, 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.
Citation - WoS: 198
Citation - Scopus: 194
Existence and uniqueness of a common fixed point on partial metric spaces
(Pergamon-elsevier Science Ltd, 2011) Abdeljawad, T.; Karapinar, E.; Tas, K.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this work, a general form of the weak phi-contraction is considered on partial metric spaces, to get a common fixed point. It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak phi-contraction. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 5
Citation - Scopus: 4
Existence and Uniqueness of Common Coupled Fixed Point Results Via Auxiliary Functions
(Springer Singapore Pte Ltd, 2014) Chandok, S.; Karapinar, E.; Khan, M. Saeed; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.
Citation - WoS: 63
Citation - Scopus: 61
Fixed Point Theorem for Cyclic Maps on Partial Metric Spaces
(Natural Sciences Publishing Corp-nsp, 2012) Karapinar, E.; Erhan, I. M.; Ulus, A. Yildiz; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, a class of cyclic contractions on partial metric spaces is introduced. A fixed point theorem for cyclic contractions on partial metric spaces satisfying (psi, phi) contractive condition, and illustrative examples are given.
Generalized Partial Metric Spaces With a Fixed Point Theorem
(Islamic Azad Univ, Shiraz Branch, 2019) Aydi, H.; Karapinar, E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce the notion of extended partial metric space and we present some fixed point theorems in generalized partial metric spaces involving linear and nonlinear contractions.
Citation - WoS: 32
Citation - Scopus: 32
Iterative Approximation of Fixed Points for Presic Type f-contraction Operators
(Univ Politehnica Bucharest, Sci Bull, 2016) Abbas, M.; Karapınar, Erdal; Berzig, M.; Nazir, T.; Karapinar, E.; Karapınar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University; Mathematics
We study the convergence of the Presic type k-step iterative process for a class of operators f : X-k -> X satisfying Presic type F-contractive condition in the setting of metric spaces. As an applications of the result presented herein, we derive global attractivity results for a class of matrix difference equations. Numerical experiments are also presented to illustrate the theoretical findings.
Citation - WoS: 2
Citation - Scopus: 3
A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
(Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.
Citation - WoS: 4
Citation - Scopus: 6
A Note on A Rational Form Contractions With Discontinuities at Fixed Points
(House Book Science-casa Cartii Stiinta, 2020) Karapinar, E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we investigate one of the classical problems of the metric fixed point theory: Whether there is a contraction condition which does not force the mapping to be continuous at the fixed point. We propose a contraction conditions in rational form that has a unique fixed point but not necessarily continuous at the given fixed point.
Citation - WoS: 21
Citation - Scopus: 18
On a Cyclic Jungck Modified ts-iterative Procedure With Application Examples
(Elsevier Science inc, 2014) De la Sen, M.; Karapinar, E.; Alemdaroğlu Temel, Mine; Alemdaroğlu Temel, Mine; Airframe and Powerplant Maintenance; Mathematics; 02. School of Arts and Sciences; 13. School of Civil Aviation (4-Year); 01. Atılım University
This article investigates some convergence properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. The uniqueness of the best proximity points is investigated. It is basically assumed that one of the self-mappings is asymptotically nonexpansive while the other is asymptotically contractive with several particular cases. Some application examples are also discussed. (C) 2014 Elsevier Inc. All rights reserved.
Citation - WoS: 18
ON ADMISSIBLE WEAK CONTRACTIONS IN b-METRIC-LIKE SPACE
(Univ Prishtines, 2017) Hammache, K.; Karapinar, E.; Ould-Hammouda, A.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this work, we establish some fixed point theorems for admissible weak contractions in b-metric-like spaces and b-metric-like spaces endowed with a partial order. Also, we give some fixed point theorems for cyclic contractive mapping in such spaces. The new results in this paper generalize and extend many theorems that we can find in the literature.
Citation - WoS: 3
Citation - Scopus: 3
On Modified Α-Φ Meir-Keeler Contractive Mappings
(Univ Nis, Fac Sci Math, 2014) Salimi, P.; Hussain, N.; Roldan, A.; Karapinar, E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Samet et al. [Nonlinear Anal. 75: 2154-2165, 2012] introduced and studied alpha-psi-contractive mappings. More recently Salimi, et al. [Fixed Point Theory Appl., 2013: 151] modified the notion of alpha-psi-contractive mappings and improved the fixed point theorems in [20, 32]. Here we utilize these notions to establish fixed point results for modified alpha-phi-asymmetric Meir-Keeler contractions and triangular alpha-admissible mappings defined on G-metric and cone G-metric spaces. Several interesting consequences of our theorems are also provided here to illustrate the usability of the obtained results.
Citation - WoS: 2
Citation - Scopus: 1
On Reich Type Λ - Α-Nonexpansive Mapping in Banach Spaces With Applications To l_1<
(Univ Politecnica Valencia, Editorial Upv, 2018) Belbaki, Rabah; Karapinar, E.; Ould-Hammouda, Amar; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript we introduce a new class of monotone generalized nonexpansive mappings and establish some weak and strong convergence theorems for Krasnoselskii iteration in the setting of a Banach space with partial order. We consider also an application to the space L-1([0, 1]). Our results generalize and unify the several related results in the literature.
Citation - WoS: 14
Citation - Scopus: 12
On the Fixed Point Theorems for Generalized Weakly Contractive Mappings On Partial Metric Spaces
(Springer Singapore Pte Ltd, 2013) Chi, K. P.; Karapinar, E.; Thanh, T. D.; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we prove a fixed point theorem for a pair of generalized weakly contractive mappings in complete partial metric spaces. The are generalizations of very recent fixed point theorems due to Abdeljawad, Karapmar and Tas.
Citation - Scopus: 11
Some Fixed Points Results on Branciari Metric Spaces Via Implicit Functions
(North University of Baia Mare, 2015) Karapinar, E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we introduce the notion of α-implicit contractive mapping of integral type in the context of Branciari metric spaces. The results of this paper, generalize and improve several results on the topic in literature. We give an example to illustrate our results. © 2015, North University of Baia Mare. All rights reserved.