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
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ORCID ID
Scopus Author ID
Turkish CoHE Profile ID
Google Scholar ID
WoS Researcher ID

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Scholarly Output

65

Articles

58

Views / Downloads

6/0

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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Now showing 1 - 10 of 65
  • Thumbnail Image
    Article
    Citation - WoS: 56
    Best Proximity Point on Different Type Contractions
    (Natural Sciences Publishing Corp-nsp, 2011) Karapinar, Erdal; Erhan, Inci M.
    In this manuscript, some proximity points are obtained by using different types cyclic contractions. Also, generalized cyclic Meir Keeler contraction is introduced and a new fixed point theorem for this cyclic mapping is stated.
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    Article
    Citation - WoS: 3
    Citation - Scopus: 3
    On the Fixed Points of Iterative Contractive Mappings Defined Via Implicit Relation
    (Taylor & Francis Ltd, 2021) Aksoy, Umit; Erhan, Inci M.; Fulga, Andreea; Karapinar, Erdal
    In this paper, we consider an implicit relation to generalize iterative fixed point results in the literature in the context of metric spaces. We conclude that several existing results are immediate consequences of our main results.
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    Article
    On a Generalized Α-Admissible Rational Type Contractive Mapping
    (Yokohama Publications, 2016) Erhan,I.M.; Kir,M.
    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. © 2016.
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    Article
    Citation - WoS: 25
    Citation - Scopus: 33
    Fixed Point Theorems in Complete Modular Metric Spaces and an Application To Anti-Periodic Boundary Value Problems
    (Univ Nis, Fac Sci Math, 2017) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    In this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Caratheodory's type is considered in the framework of modular metric spaces.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    A Note on 'coupled Fixed Point Theorems for Mixed g-monotone Mappings in Partially Ordered Metric Spaces'
    (Springer international Publishing Ag, 2014) Bilgili, Nurcan; Erhan, Inci M.; Karapinar, Erdal; Turkoglu, Duran
    Recently, some (common) coupled fixed theorems in various abstract spaces have appeared as a generalization of existing (usual) fixed point results. Unexpectedly, we noticed that most of such (common) coupled fixed theorems are either weaker or equivalent to existing fixed point results in the literature. In particular, we prove that the very recent paper of Turkoglu and Sangurlu 'Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces [Fixed Point Theory and Applications 2013, 2013:348]' can be considered as a consequence of the existing fixed point theorems on the topic in the literature. Furthermore, we give an example to illustrate that the main results of Turkoglu and Sangurlu (Fixed Point Theory Appl. 2013:348, 2013) has limited applicability compared to the mentioned existing fixed point result.
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    Article
    Citation - WoS: 4
    Citation - Scopus: 6
    Lagrange Interpolation on Time Scales
    (Wilmington Scientific Publisher, Llc, 2022) Georgiev, Svetlin G.; Erhan, Inci M.; Guseinov, GS; Bohner, M
    In this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called s-Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of interpolation polynomials coincide. We apply our results on some particular examples.
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    Article
    Citation - WoS: 40
    Citation - Scopus: 50
    Fixed Points of (ψ, Φ) Contractions on Rectangular Metric Spaces
    (Springer international Publishing Ag, 2012) Erhan, Inci M.; Karapinar, Erdal; Sekulic, Tanja
    Existence and uniqueness of fixed points of a general class of (psi, phi) contractive mappings on complete rectangular metric spaces are discussed. One of the theorems is a generalization of a fixed point theorem recently introduced by Lakzian and Samet. Fixed points of (psi, phi) contractions under conditions involving rational expressions are also investigated. Several particular cases and applications as well as an illustrative example are given.
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    Article
    Citation - WoS: 11
    Citation - Scopus: 20
    The Taylor Series Method and Trapezoidal Rule on Time Scales
    (Elsevier Science inc, 2020) Georgiev, Svetlin G.; Erhan, Inci M.
    The Taylor series method for initial value problems associated with dynamic equations of first order on time scales with delta differentiable graininess function is introduced. The trapezoidal rule for the same types of problems is derived and applied to specific examples. Numerical results are presented and discussed. (c) 2020 Elsevier Inc. All rights reserved.
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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 - 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.