Erhan, İnci

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Profile URL
https://hdl.handle.net/20.500.14411/8098
Name Variants
I.,Erhan
E.,İnci
İ.,Erhan
E.,Inci
İnci, Erhan
E., Inci
Erhan, Inci
Erhan,İ.
Inci, Erhan
Erhan,I.
I., Erhan
Erhan, İnci
Erhan, Inci M.
Erhan, I. M.
Erhan,I.M.
Ercan, I
Erhan, İnci M.
Job Title
Profesör Doktor
Email Address
inci.erhan@atilim.edu.tr
Main Affiliation
Mathematics
Status
Former Staff
Website
ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

Sustainable Development Goals

SDG data is not available
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Scholarly Output

65

Articles

58

Views / Downloads

236/982

Supervised MSc Theses

5

Supervised PhD Theses

0

WoS Citation Count

1515

Scopus Citation Count

1478

Patents

0

Projects

0

WoS Citations per Publication

23.31

Scopus Citations per Publication

22.74

Open Access Source

27

Supervised Theses

5

JournalCount
Fixed Point Theory and Applications10
Filomat5
Abstract and Applied Analysis4
Crystal Research and Technology3
Journal of Inequalities and Applications3
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2002 - 200952010 - 201941
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End date: 2019Has files: false

Scholarly Output Search Results

Now showing 1 - 10 of 46
  • Thumbnail Image
    Article
    Citation - WoS: 13
    Citation - Scopus: 12
    Common Fixed Point Theorems of Integral Type Contraction on Metric Spaces and Its Applications To System of Functional Equations
    (Springer international Publishing Ag, 2015) Sarwar, Muhammad; Zada, Mian Bahadur; Erhan, Inci M.
    In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 23
    Best Proximity Points of Generalized Almost Ψ-Geraghty Contractive Non-Self
    (Springer international Publishing Ag, 2014) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.; Salimi, Peyman
    In this paper, we introduce the new notion of almost psi-Geraghty contractive mappings and investigate the existence of a best proximity point for such mappings in complete metric spaces via the weak P-property. We provide an example to validate our best proximity point theorem. The obtained results extend, generalize, and complement some known fixed and best proximity point results from the literature.
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    Article
    ON A GENERALIZED α-ADMISSIBLE RATIONAL TYPE CONTRACTIVE MAPPING
    (Yokohama Publ, 2016) Erhan, Inci M.; Kir, Mehmet
    Recently, many generalized contractive conditions which involve rational contractive inequalities have been introduced in the context of partially ordered metric spaces. In this paper, we aim to give a generalized rational contractive condition which involves some of these results without need of extra restrictions.
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    Article
    Citation - WoS: 32
    Citation - Scopus: 45
    Fixed Point Theorems for a Class of Α-Admissible Contractions and Applications To Boundary Value Problem
    (Hindawi Publishing Corporation, 2014) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
    A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.
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    Article
    Citation - WoS: 31
    Citation - Scopus: 43
    On Best Proximity Point of Ψ-Geraghty Contractions
    (Springer international Publishing Ag, 2013) Karapinar, Erdal; Erhan, Inci M.
    Very recently, Caballero, Harjani and Sadarangani (Fixed Point Theory Appl. 2012: 231, 2012) observed some best proximity point results for Geraghty contractions by using the P-property. In this paper, we introduce the notion of psi-Geraghty contractions and show the existence and uniqueness of the best proximity point of such contractions in the setting of a metric space. We state examples to illustrate our result.
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    Article
    Some Remarks About the Existence of Coupled G-Coincidence Points
    (Journal of Inequalities and Applications, 2015) Erhan, İnci M.; Shahzad, Naseer
    Very recently, in a series of subsequent papers, Nan and Charoensawan introduced the notion of g-coincidence point of two mappings in different settings (metric spaces and G-metric spaces) and proved some theorems in order to guarantee the existence and uniqueness of such kind of points. Although their notion seems to be attractive, in this paper, we show how this concept can be reduced to the unidimensional notion of coincidence point, and how their main theorems can be seen as particular cases of existing results. Moreover, we prove that the proofs of their main statements have some gaps.
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    Article
    Citation - Scopus: 76
    Fixed Points of Generalized Α-Admissible Contractions on B-Metric Spaces With an Application To Boundary Value Problems
    (Yokohama Publications, 2016) Aksoy,Ü.; Karapinar,E.; Erhan,I.M.
    A general class of α-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations. © 2016.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 6
    Fixed Points of Α-Admissible Meir-Keeler Contraction Mappings on Quasi-Metric Spaces
    (Springer international Publishing Ag, 2015) Alsulami, Hamed H.; Gulyaz, Selma; Erhan, Inci M.
    We introduce alpha-admissible Meir-Keller and generalized alpha-admissible Meir-Keller contractions on quasi-metric spaces and discuss the existence of fixed points of such contractions. We apply our results to G-metric spaces and express some fixed point theorems in G-metric spaces as consequences of the results in quasi-metric spaces.
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    Article
    Citation - Scopus: 12
    Different Types Meir-Keeler Contractions on Partial Metric Spaces
    (Eudoxus Press, LLC, 2012) Erhan,I.M.; Karapinar,E.; Türkoǧlu,D.
    In this manuscript, Meir-Keeler contractions on partial metric spaces are introduced. It is shown that if a self-mapping T on a complete partial metric spaces is a Meir-Keeler contraction, then T has a unique fixed point. © 2012 EUDOXUS PRESS, LLC.
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    Article
    Citation - WoS: 68
    An Ulam stability result on quasi-b-metric-like spaces
    (Sciendo, 2016) 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.