Karapınar, Erdal
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Name Variants
Karapınar,E.
Karapınar, E.
E.,Karapinar
K., Erdal
Karapinar,E.
K.,Erdal
Erdal, Karapınar
E., Karapinar
Karapinar, Erdal
E.,Karapınar
KarapJnar, Erdal
Karapınar, Erdal
Erdal, Karapinar
Karapinar, E.
KARAPINAR,E.
KARAPINAR,E.
Karapnar,E.
Karapınar, E.
E.,Karapinar
K., Erdal
Karapinar,E.
K.,Erdal
Erdal, Karapınar
E., Karapinar
Karapinar, Erdal
E.,Karapınar
KarapJnar, Erdal
Karapınar, Erdal
Erdal, Karapinar
Karapinar, E.
KARAPINAR,E.
KARAPINAR,E.
Karapnar,E.
Job Title
Profesör Doktor
Email Address
erdal.karapinar@atilim.edu.tr
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID
Scholarly Output
309
Articles
295
Citation Count
8653
Supervised Theses
0
309 results
Scholarly Output Search Results
Now showing 1 - 10 of 309
Article Citation Count: 25Remarks on some recent fixed point theorems(Springer international Publishing Ag, 2012) Karapınar, Erdal; Karapinar, Erdal; Samet, Bessem; MathematicsThe purpose of this article is to show that some recent fixed point theorems are particular results of previous existing theorems in the literature. Mathematics Subject Classification 2000: 54H25; 47H10.Book Part Citation Count: 2On the approximation of solutions to a fixed point problem with inequality constraints in a Banach space partially ordered by a cone(Springer Singapore, 2017) Karapınar, Erdal; Karapinar,E.; Samet,B.; MathematicsLet E be a Banach space with a cone P. Let T, ϕi: E → E (i = 1, 2) be three given operators. We address the following question: Find x ε E such that where ≤P is the partial order on E induced by the cone P, and 0E is the zero vector of E. We obtain sufficient conditions for the existence and uniqueness of solutions to this problem. We present an iterative algorithm to approximate the solution. The error estimates as well as results concerning the data dependence, well-posedness, limit shadowing property, and sequences of operators are provided. Some interesting consequences are deduced from our main results. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved.Article Citation Count: 14Some nonunique common fixed point theorems in symmetric spaces through CLR (S,T) property(2013) Karapınar, Erdal; Patel,D.K.; Imdad,M.; Gopal,D.; MathematicsWe introduce a new class of mappings satisfying the "common limit range property" in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished. © 2013 E. Karapnar et al.Article Citation Count: 6On α*-ψ-contractive multi-valued operators in b-metric spaces and applications(Natural Sciences Publishing Co., 2015) Karapınar, Erdal; Ilea,V.; Karapinar,E.; Mleşniţe,O.; MathematicsIn this paper, we will prove some existence and uniqueness theorems for α*-ψ contractive type operators defined over bmetric spaces. In particular, we will provide results related to Ulam-Hyers stability, well-posedness and limit shadowing. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.We will also give examples to illustrate the applications our results. © 2015 NSP Natural Sciences Publishing Cor.Article Citation Count: 11A Note on Meir-Keeler Contractions on Dislocated Quasi-b-Metric(Univ Nis, Fac Sci Math, 2017) Karapınar, Erdal; MathematicsIn this manuscript, we show that Meir-Keeler type contractions posses a fixed point in the setting of dislocated quasi-b-metricArticle Citation Count: 31Strong convergence theorem for strict pseudo-contractions in Hilbert spaces(Springeropen, 2016) Karapınar, Erdal; Scardamaglia, Bruno; Karapinar, Erdal; MathematicsIn this paper, inspired by Hussain et al. (Fixed Point Theory Appl. 2015: 17, 2015), we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory Appl. 2015: 17, 2015) it is shown that the same algorithm converges strongly to a fixed point of a nonexpansive mapping under suitable hypotheses on the coefficients. Here the assumptions on the coefficients are different, as well as the techniques of the proof.Article Citation Count: 11Fixed point of α-ψ-contractive type mappings in uniform spaces(Springer international Publishing Ag, 2014) Karapınar, Erdal; Kamran, Tayyab; Karapinar, Erdal; MathematicsIn this paper, we shall investigate the existence and uniqueness of a fixed point of alpha-psi-contractive mappings in the context of uniform spaces. We shall also prove some common fixed point theorems by introducing the notion of alpha-admissible pairs. We shall construct some examples to support our novel results.Article Citation Count: 16TRIPLED BEST PROXIMITY POINT THEOREM IN METRIC SPACES(Element, 2013) Karapınar, Erdal; Gupta, Animesh; Karapinar, Erdal; Kumam, Poom; Sintunavarat, Wutiphol; MathematicsThe purpose of this article is to first introduce the notion of tripled best proximity point and cyclic contraction pair. We also establish the existence and convergence theorems of tripled best proximity points in metric spaces. Moreover, we apply our results to setting of uniformly convex Banach space. Finally, we obtain some results on the existence and convergence of tripled fixed point in metric spaces and give illustrative examples of our theorems.Article Citation Count: 26Ciric Type Nonunique Fixed Point Theorems on b-Metric Spaces(Univ Nis, Fac Sci Math, 2017) Karapınar, Erdal; Karapinar, Erdal; Rakocevic, Vladimir; MathematicsIn this paper, inspired the very interesting results of Ciric [20], we investigate the existing non-unique fixed points of certain operators in the context of b-metric spaces. Our main results unify and cover several existing results on the topic in the literature.Article Citation Count: 22A new approach to G-metric and related fixed point theorems(Springer, 2013) Karapınar, Erdal; Karapinar, Erdal; Salimi, Peyman; MathematicsVery recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed point theorems on the usual metric space. In this paper, we state and prove some fixed point theorems in the framework of G-metric space that cannot be obtained from the existence results in the context of associated metric space.
