Search Results

Now showing 1 - 9 of 9

Citation - WoS: 94
Citation - Scopus: 115
Solution of Fractional Differential Equations Via Coupled Fixed Point
(Texas State Univ, 2015) Afshari, Hojjat; Kalantari, Sabileh; Karapinar, Erdal
In this article, we investigate the existence and uniqueness of a solution for the fractional differential equation by introducing some new coupled fixed point theorems for the class of mixed monotone operators with perturbations in the context of partially ordered complete metric space.
Citation - WoS: 21
Citation - Scopus: 23
On (α, Ψ)-k-contractions in the Extended b-metric Space
(Univ Nis, Fac Sci Math, 2018) Alqahtani, Badr; Karapinar, Erdal; Ozturk, Ali
In this paper, we introduce a notion of (alpha, psi)-K-contraction in the setting of extended b-metric spaces and investigate the existence of a fixed point. The presented results generalize and unify a number of well-known fixed point theorem mainly in two distinct aspects; in the sense of the contraction conditions and in the frame of abstract spaces.
Citation - WoS: 5
Citation - Scopus: 6
Revisiting of Some Outstanding Metric Fixed Point Theorems Via e-contraction
(Ovidius Univ Press, 2018-12-01) Fulga, Andreea; Karapinar, Erdal
In this paper, we introduce the notion of alpha-psi-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.
Citation - WoS: 25
Citation - Scopus: 33
Fixed Point Theorems in Complete Modular Metric Spaces and an Application To Anti-Periodic Boundary Value Problems
(Univ Nis, Fac Sci Math, 2017) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
In this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Caratheodory's type is considered in the framework of modular metric spaces.
Citation - WoS: 43
A Common Fixed Point Theorem for Cyclic Operators on Partial Metric Spaces
(Univ Nis, Fac Sci Math, 2012) Karapinar, Erdal; Karapınar, Erdal; Shobkolaei, Nabi; Sedghi, Shaban; Vaezpour, S. Mansour; Karapınar, Erdal; Mathematics; Mathematics
In this paper, we prove a common fixed point theorem for two self-mappings satisfying certain conditions over the class of partial metric spaces. In particular, the main theorem of this manuscript extends some well-known fixed point theorems in the literature on this topic.
Citation - WoS: 69
An Ulam stability result on quasi-b-metric-like spaces
(Sciendo, 2016-01-01) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
In this paper a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
Citation - WoS: 15
Citation - Scopus: 13
Matkowski Theorems in the Context of Quasi-Metric Spaces and Consequences on g-metric Spaces
(Sciendo, 2016-01-01) Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-Francisco; Samet, Bessem
In this paper, we prove the characterization of a Matkowski's theorem in the setting of quasi-metric spaces. As a result, we observe that some recent fixed point results in the context of G-metric spaces are consequences of our main result.
Citation - WoS: 11
Citation - Scopus: 15
Fixed points for cyclic orbital generalized contractions on complete metric spaces
(de Gruyter Open Ltd, 2013-01-01) Karapinar, Erdal; Romaguera, Salvador; Tas, Kenan
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: 45
Citation - Scopus: 45
A Note on "some Results on Multi-Valued Weakly Jungck Mappings in b-metric Space"
(versita, 2013-06-28) Bota, Monica-Felicia; Karapinar, Erdal
The proofs of Theorems 2.1, 2.2 and 2.3 from [Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610-621] base on faulty evaluations. We give here correct but weaker versions of these theorems.

WoS

Browse

Filters

Settings

Sort By

Results per page

Search Results