Browsing by Author "Tas, Kenan"

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Citation - WoS: 5
Advances on Fixed Point Results on Partial Metric Spaces
(Springer international Publishing Ag, 2019) Karapinar, Erdal; Tas, Kenan; Rakocevic, Vladimir; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
[No Abstract Available]
Citation - WoS: 19
Citation - Scopus: 18
Best Proximity Point Theorems for kt-types Cyclic Orbital Contraction Mappings
(House Book Science-casa Cartii Stiinta, 2012) Karapinar, Erdal; Petrusel, Gabriela; Tas, Kenan; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.
Citation - WoS: 16
Citation - Scopus: 20
Common Fixed Point Theorems in Cone Banach Spaces
(Hacettepe Univ, Fac Sci, 2011) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; Mathematics; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Recently, E. Karapinar (Fixed Point Theorems in Cone Banach Spaces, Fixed Point Theory Applications, Article ID 609281, 9 pages, 2009) presented some fixed point theorems for self-mappings satisfying certain contraction principles on a cone Banach space. Here we will give some generalizations of this theorem.
Citation - WoS: 34
Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions
(Univ Miskolc inst Math, 2013) Karapinar, Erdal; Shatanawi, Wasfi; Tas, Kenan; 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.
Citation - WoS: 11
Citation - Scopus: 15
Fixed points for cyclic orbital generalized contractions on complete metric spaces
(de Gruyter Open Ltd, 2013) Karapinar, Erdal; Romaguera, Salvador; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293-303]. Our results generalize some theorems of Kirk, Srinavasan and Veeramani, and of Karpagam and Agrawal.
Citation - WoS: 59
Citation - Scopus: 66
Generalized (c)-conditions and Related Fixed Point Theorems
(Pergamon-elsevier Science Ltd, 2011) Karapinar, Erdal; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, the notion of C-condition [K. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mappings, J. Math. Anal. Appl. 340 (2008) 1088-1095] is generalized. Some new fixed point theorems are obtained. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 13
Citation - Scopus: 23
Generalized Alpha-Psi Type Mappings of Integral Type and Related Fixed Point Theorems
(Springer, 2014) Karapinar, Erdal; Shahi, Priya; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
The aim of this paper is to introduce two classes of generalized alpha-psi-contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric spaces. Our results are improved versions of a multitude of relevant fixed point theorems of the existing literature.
Citation - WoS: 79
Citation - Scopus: 82
A Generalized Contraction Principle With Control Functions on Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2012) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions phi and psi on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 14
Citation - Scopus: 25
On Coupled Fixed Point Theorems on Partially Ordered g-metric Spaces
(Springeropen, 2012) Karapinar, Erdal; Kaymakcalan, Billur; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this manuscript, we extend, generalize and enrich some recent coupled fixed point theorems in the framework of partially ordered G-metric spaces in a way that is essentially more natural.
Citation - WoS: 3
Citation - Scopus: 3
Quadruple Fixed Point Theorems for Nonlinear Contractions on Partial Metric Spaces
(Univ Politecnica Valencia, Editorial Upv, 2014) Karapinar, Erdal; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property. Very recently, the concept of tripled fixed point was introduced by Berinde and Borcut [7]. Following this trend, Karapmar[19] defined the quadruple fixed point. In this manuscript, quadruple fixed point is discussed and some new fixed point theorems are obtained on partial metric spaces.