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

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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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2011 - 2019412020 - 202514
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Start date: 2010Has files: false

Scholarly Output Search Results

Now showing 1 - 10 of 55
  • 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: 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
    Citation - WoS: 4
    Citation - Scopus: 3
    Existence of solutions of integral equations via fixed point theorems
    (Springeropen, 2014) Gulyaz, Selma; Erhan, Inci M.
    Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.
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    Book
    Citation - Scopus: 1
    Numerical Analysis on Time Scales
    (De Gruyter, 2022) Georgiev,S.G.; Erhan,I.M.
    Mathematical models cannot be solved using the traditional analytical methods for dynamic equations on time scales. These models must be dealt with using computational methods. This textbook introduces numerical methods for initial value problems for dynamic equations on time scales. Hands-on examples utilizing MATLAB and practical problems illustrate a wide variety of solution techniques. This textbook discusses the design, analysis and applications of computational techniques for dynamic equations on time scales. Hands-on examples utilizing MATLAB are provided as well as end of chapter problems. © 2022 Walter de Gruyter GmbH, Berlin/Boston. All rights reserved.
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    Article
    Citation - WoS: 63
    Citation - Scopus: 61
    Fixed Point Theorem for Cyclic Maps on Partial Metric Spaces
    (Natural Sciences Publishing Corp-nsp, 2012) Karapinar, E.; Erhan, I. M.; Ulus, A. Yildiz; Yildiz Ulus, A.; Mathematics
    In this paper, a class of cyclic contractions on partial metric spaces is introduced. A fixed point theorem for cyclic contractions on partial metric spaces satisfying (psi, phi) contractive condition, and illustrative examples are given.
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    Article
    Citation - WoS: 28
    Citation - Scopus: 31
    Meir-Keeler Type Contractions on Modular Metric Spaces
    (Univ Nis, Fac Sci Math, 2018) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Rakocevic, Vladimir
    In this paper we introduce contraction mappings of Meir-Keeler types on modular metric spaces and investigate the existence and uniqueness of their fixed points. We give an example which demonstrates our theoretical results.
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    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: 3
    Citation - Scopus: 5
    A Fixed Point Theorem for Meir-Keeler Type Contraction Via Gupta-Saxena Expression
    (Springer international Publishing Ag, 2015) Redjel, Najeh; Dehici, Abdelkader; Erhan, Inci M.
    In this paper, following the idea of Samet et al. (J. Nonlinear. Sci. Appl. 6: 162-169, 2013), we establish a new fixed point theorem for a Meir-Keeler type contraction via Gupta-Saxena rational expression which enables us to extend and generalize their main result (Gupta and Saxena in Math. Stud. 52: 156-158, 1984). As an application we derive some fixed points of mappings of integral type.