Karapınar, Erdal

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https://hdl.handle.net/20.500.14411/8514
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.
Karapńar, Erdal
Job Title
Profesör Doktor
Email Address
erdal.karapinar@atilim.edu.tr
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Mathematics
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Website
ORCID ID
0000-0002-6798-3254
Scopus Author ID
16678995500
Turkish CoHE Profile ID
19184
Google Scholar ID
PRXAyLcAAAAJ
WoS Researcher ID
H-3177-2011

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Documents

540

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507

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Scholarly Output

408

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389

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Fixed Point Theory and Applications59
Abstract and Applied Analysis42
Journal of Inequalities and Applications39
Filomat19
Journal of Applied Mathematics17
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Start date: 2010Subject: fixed point

Scholarly Output Search Results

Now showing 1 - 10 of 84
  • Thumbnail Image
    Article
    Citation - WoS: 14
    Citation - Scopus: 24
    Generalized Alpha-Psi Type Mappings of Integral Type and Related Fixed Point Theorems
    (Springer, 2014) Karapinar, Erdal; Shahi, Priya; Tas, Kenan
    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.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 5
    Fixed Point Theorems for Generalized Contractions on gp-metric Spaces
    (Springeropen, 2013) Bilgili, Nurcan; Karapinar, Erdal; Salimi, Peyman
    In this paper, we present two fixed point theorems on mappings, defined on GP-complete GP-metric spaces, which satisfy a generalized contraction property determined by certain upper semi-continuous functions. Furthermore, we illustrate applications of our theorems with a number of examples. Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces. MSC: 47H10, 54H25.
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    Article
    Citation - WoS: 57
    Citation - Scopus: 75
    Further Fixed Point Results on g-metric Spaces
    (Springer int Publ Ag, 2013) Karapinar, Erdal; Agarwal, Ravi P.
    Very recently, Samet et al. (Int. J. Anal. 2013: 917158, 2013) and Jleli-Samet (Fixed Point Theory Appl. 2012: 210, 2012) noticed that some fixed point theorems in the context of a G-metric space can be deduced by some well-known results in the literature in the setting of a usual (quasi) metric space. In this paper, we note that the approach of Samet et al. (Int. J. Anal. 2013: 917158, 2013) and Jleli-Samet (Fixed Point Theory Appl. 2012: 210, 2012) is inapplicable unless the contraction condition in the statement of the theorem can be reduced into two variables. For this purpose, we modify some existing results to suggest new fixed point theorems that fit with the nature of a G-metric space. The expressions in our result, the contraction condition, cannot be expressed in two variables, therefore the techniques used in (Int. J. Anal. 2013: 917158, 2013; Fixed Point Theory Appl. 2012: 210, 2012) are not applicable.
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    Article
    Citation - WoS: 23
    Citation - Scopus: 31
    A Discussion on "α-Ψ Contraction Type Mappings "
    (Univ Nis, Fac Sci Math, 2014) Karapinar, Erdal
    In this paper we discuss the subadditivity property of some auxiliary functions which have been used to generalize the contractive conditions on maps. Our results show that this property is not required in many cases and therefore, can be removed. We emphasize that in several papers (see e.g.[1]-[11]) dealing with such contraction mappings, the hypotheses of the main theorems can be restated in the light of our results.
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    Article
    Citation - WoS: 5
    On Some Fixed Point Results in Extended Strong b-spaces
    (int Center Scientific Research & Studies, 2018) Alqahtani, Badr; Karapinar, Erdal; Khojasteh, Farshid
    In this paper, we propose a notion of a strong extended b-metric space and investigate the existence and uniqueness of a fixed point of certain operators.
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    Article
    Citation - WoS: 9
    Citation - Scopus: 12
    Some Integral Type Common Fixed Point Theorems Satisfying Φ-Contractive Conditions
    (Belgian Mathematical Soc Triomphe, 2014) Chauhan, Sunny; Karapinar, Erdal
    In this manuscript, we obtain some common fixed point results of two pairs having the common limit range property in the setting of integral type contraction in the framework of symmetric (semi-metric) spaces. Moreover, we extend our results from two pairs of self-mappings to four finite families of self mappings to get common fixed points. Our results improve and extend a host of previously known results. Further, we establish some illustrative examples to show the validity of the main results.
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    Article
    Citation - WoS: 174
    Citation - Scopus: 192
    Interpolative Reich-Rus Type Contractions on Partial Metric Spaces
    (Mdpi, 2018) Karapinar, Erdal; Agarwal, Ravi; Aydi, Hassen
    By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85-87) where the given fixed point may be not unique and we present the corrected version. We also state the celebrated fixed point theorem of Reich-Rus-Ciric in the framework of complete partial metric spaces, by taking the interpolation theory into account. Some examples are provided where the main result in papers by Reich (Can. Math. Bull. 1971, 14, 121-124; Boll. Unione Mat. Ital. 1972, 4, 26-42 and Boll. Unione Mat. Ital. 1971, 4, 1-11.) is not applicable.
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    Article
    Citation - WoS: 3
    On Ciric Type φ-Geraghty Contractions
    (Chiang Mai Univ, Fac Science, 2019) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
    In this paper we introduce the notions of phi-Geraghty contractions and Ciric type phi-Geraghty contractions. We also investigate under which conditions such mappings posses a unique fixed point in the framework of complete metric spaces. We consider examples to show the validity of our main results.
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    Article
    Generalized Partial Metric Spaces With a Fixed Point Theorem
    (Islamic Azad Univ, Shiraz Branch, 2019) Aydi, H.; Karapinar, E.
    In this paper, we introduce the notion of extended partial metric space and we present some fixed point theorems in generalized partial metric spaces involving linear and nonlinear contractions.
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    Article
    Citation - WoS: 10
    Fixed Point Results in Orbitally Complete Partial Metric Spaces
    (Malaysian Mathematical Sciences Soc, 2013) Nashine, Hemant Kumar; Karapinar, Erdal
    In this paper, we prove two fixed point theorems for maps that satisfy a contraction principle involving a rational expression in complete partial metric spaces.