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: 11
    SOME FIXED POINT THEOREMS IN BRANCIARI METRIC SPACES
    (Walter de Gruyter Gmbh, 2017) Karapınar, Erdal; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio F.; Mathematics
    In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via auxiliary functions in the context of complete Branciari metric spaces endowed with a transitive binary relation. Our results unify and extend some existing fixed point results in the related literature.
  • Article
    Citation Count: 40
    Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces
    (Springeropen, 2016) Karapınar, Erdal; Ameer, Eskandar; Karapinar, Erdal; Mathematics
    The purpose of this paper is to generalize fixed point theorems introduced by Jleli et al. (J. Inequal. Appl. 2014: 38, 2014) by using the concept of triangular alpha-orbital admissible mappings established in Popescu (Fixed Point Theory Appl. 2014: 190, 2014). Some examples are given here to illustrate the usability of the obtained results.
  • Article
    Citation Count: 0
    ON PAIRS OF l-KOTHE SPACES
    (Hacettepe Univ, Fac Sci, 2010) Karapınar, Erdal; Mathematics
    Let l be a Banach sequence space with a monotone norm parallel to . parallel to e, in which the canonical system (e(i)) is a normalized unconditional basis. Let a = (a(i)), a(i) -> infinity, lambda = (lambda(i)) be sequences of positive numbers. We study the problem on isomorphic classification of pairs F = (K-l ( exp ( -1/pa(i))), K-l( exp ( -1/pa(i) ))) For this purpose, we consider the sequence of so-called m-rectangle characteristics mu(F)(m). It is shown that the system of all these characteristics is a complete quasidiagonal invariant on the class of pairs of finite-type. l-power series spaces. By using analytic scale and a modification of some invariants (modified compound invariants) it is proven that m-rectangular characteristics are invariant on the class of such pairs. Deriving the characteristic (beta) over tilde from the characteristic beta, and using the interpolation method of analytic scale, we are able to generalize some results of Chalov, Dragilev, and Zahariuta (Pair of finite type power series spaces, Note di Mathematica 17, 121-142, 1997).
  • Article
    Citation Count: 53
    Couple Fixed Point on Cone Metric Spaces
    (Gazi Univ, 2011) Karapınar, Erdal; Mathematics
    In this article, some couple fixed point theorems are proved for the class of Banach valued metric spaces. The results are proved without any additional conditions such as normality or regularity.
  • Article
    Citation Count: 3
    On common fixed points that belong to the zero set of a certain function
    (int Scientific Research Publications, 2017) Karapınar, Erdal; Samet, Bessem; Shahi, Priya; Mathematics
    We provide sufficient conditions under which the set of common fixed points of two self-mappings f, g : X -> X is nonempty, and every common fixed point of f and g is the zero of a given function phi : X -> [0, infinity). Next, we show the usefulness of our obtained result in partial metric fixed point theory. (C) 2017 All rights reserved.
  • Article
    Citation Count: 73
    Fixed Point Theorems in Cone Banach Spaces
    (Springer international Publishing Ag, 2009) Karapınar, Erdal; Mathematics
    In this manuscript, a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm parallel to x parallel to(P) = d(x, 0), if there exist a, b, s and T : C -> C satisfies the conditions 0 <= s + vertical bar a vertical bar - 2b < 2(a + b) and 4ad(Tx, Ty) + b(d(x, Tx) + d(y, Ty)) <= sd(x, y) for all x, y is an element of C, then T has at least one Fixed point. Copyright (C) 2009 Erdal Karapinar.
  • Article
    Citation Count: 15
    Common Fixed Point of Generalized Rational Type Contraction Mappings in Partially Ordered Metric Spaces
    (Chiang Mai Univ, Fac Science, 2013) Karapınar, Erdal; 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: 218
    A fixed point theorem for set-valued quasi-contractions in b-metric spaces
    (Springer international Publishing Ag, 2012) Karapınar, Erdal; 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.
  • Editorial
    Citation Count: 0
    Advances on Multivalued Operators and Related Fixed Point Problems
    (Hindawi Publishing Corporation, 2014) Karapınar, Erdal; Karapinar, Erdal; Du, Wei-Shih; Aydi, Hassen; Romaguera, Salvador; Mathematics
    [No Abstract Available]
  • Article
    Citation Count: 5
    Remarks on Some Recent Fixed Point Results on Quaternion-Valued Metric Spaces
    (Hindawi Ltd, 2014) Karapınar, Erdal; Alsulami, Hamed H.; Karapinar, Erdal; Khojasteh, Farshid; Mathematics
    Very recently, Ahmed et al. introduced the notion of quaternion-valued metric as a generalization of metric and proved a common fixed point theorem in the context of quaternion-valued metric space. In this paper, we will show that the quaternion-valued metric spaces are subspaces of cone metric spaces. Consequently, the fixed point results in such spaces can be derived as a consequence of the corresponding existing fixed point result in the setting cone metric spaces.