Karapınar, Erdal

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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.
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Profesör Doktor
Email Address
erdal.karapinar@atilim.edu.tr
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Scholarly Output

405

Articles

390

Citation Count

8653

Supervised Theses

0

Scholarly Output Search Results

Now showing 1 - 10 of 405
  • Article
    Citation Count: 15
    Common Fixed Point of Generalized Rational Type Contraction Mappings in Partially Ordered Metric Spaces
    (Chiang Mai Univ, Fac Science, 2013) Chandok, Sumit; Karapinar, Erdal; Mathematics
    Some common fixed point results for generalized weak contractive condition satisfying rational type expressions in the frame work of partially ordered metric spaces are obtained. The proved results generalize and extend some known results in the literature.
  • Article
    Citation Count: 4
    BEST PROXIMITY POINT FOR CERTAIN PROXIMAL CONTRACTION TYPE MAPPINGS
    (Univ Prishtines, 2018) Alqahtani, Badr; Hamzehnejadi, Javad; Karapinar, Erdal; Lashkaripour, Rahmatollah; Mathematics
    In this paper, we introduce the new notion of generalized proximal alpha-h-phi-contraction mappings and investigate the existence of the best proximity point for such mappings in the complete metric spaces.
  • Article
    Citation Count: 3
    A short-note on 'Common fixed point theorems for non-compatible self-maps in generalized metric spaces'
    (Springer international Publishing Ag, 2015) Roldan-Lopez-de-Hierro, Antonio-Francisco; Karapinar, Erdal; Alsulami, Hamed H.; Mathematics
    The main aim of this short-note is point out that certain hypotheses assumed on some results in the very recent paper (Yang in J. Inequal. Appl. 2014:275, 2014) are unnecessary, and the results contained in that manuscript can easily be improved.
  • Article
    Citation Count: 218
    A fixed point theorem for set-valued quasi-contractions in b-metric spaces
    (Springer international Publishing Ag, 2012) Aydi, Hassen; Bota, Monica-Felicia; Karapinar, Erdal; Mitrovic, Slobodanka; Mathematics
    In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.
  • Article
    Citation Count: 53
    Fixed point results for generalized α-ʋ-contractions in metric-like spaces and applications
    (Texas State University - San Marcos, 2015) Aydi,H.; Karapinar,E.; Mathematics
    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.
  • Article
    Citation Count: 25
    Remarks on some recent fixed point theorems
    (Springer international Publishing Ag, 2012) Aydi, Hassen; Karapinar, Erdal; Samet, Bessem; Mathematics
    The 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: 2
    On the approximation of solutions to a fixed point problem with inequality constraints in a Banach space partially ordered by a cone
    (Springer Singapore, 2017) Jleli,M.; Karapinar,E.; Samet,B.; Mathematics
    Let 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: 14
    Some nonunique common fixed point theorems in symmetric spaces through CLR (S,T) property
    (2013) Karapnar,E.; Patel,D.K.; Imdad,M.; Gopal,D.; Mathematics
    We 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: 6
    On α*-ψ-contractive multi-valued operators in b-metric spaces and applications
    (Natural Sciences Publishing Co., 2015) Bota,M.-F.; Ilea,V.; Karapinar,E.; Mleşniţe,O.; Mathematics
    In 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: 31
    Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
    (Springeropen, 2016) Marino, Giuseppe; Scardamaglia, Bruno; Karapinar, Erdal; Mathematics
    In 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.