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
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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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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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    Master Thesis
    Zaman skalasında interpolasyon
    (2022) Jaddoa, Najlaa Abd Zaıd Jaddoa; Adıgüzel, Rezan Sevinik; Erhan, İnci
    Bu tezde, zaman skalasında interpolasyon konusunu inceledik. Keyfi bir zaman skalası üzerinde, Lagrange, sigma-Lagrange, Hermite, sigma-Hermite, Newton ve sigma-Newton polinomlarını tanımladık. Bölünen ve sigma-bölünen farkları tanımlayarak, verilen bir veri kümesi için, Hermite polinomunu kolay yoldan elde etmek amacıyla bölünen farklar tablosu oluşturduk. Verilen bir veri kümesini, zaman skalasının yapısına bağlı olarak polinom olmayabilen fonksiyonlar olan sigma-polinomları ile temsil etmek (interpole etmek) alışılmadık bir yöntemdir. Bu şekilde, zaman skalasında interpolasyon için farklı bir bakış açısı sunmaktayız. Çeşitli zaman skalalarında birçok örnek inceledik. Bu örnekler Matlab ile elde edilen sayısal hesaplamalar ve ilgili grafikler ile desteklenmiştir.
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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: 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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    Book Part
    Divided and A-Divided Differences on Time Scales
    (De Gruyter, 2023) Jaddoa,N.; Sevinik-Adigüzel,R.; Erhan,I.M.
    In this chapter, the divided differences and cr-divided differences on time scales are introduced. The Newton and cr-Newton interpolation polynomial are constructed. In addition, the Hermite interpolation polynomial on time scales is constructed by using the divided differences table. Examples are presented to illustrate the theoretical results. © 2023 Walter de Gruyter GmbH, Berlin/Bostonl. All rights reserved.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Cyclic Contractions and Related Fixed Point Theorems on g-metric Spaces
    (Natural Sciences Publishing Corp-nsp, 2014) Bilgili, N.; Erhan, I. M.; Karapinar, E.; Turkoglu, D.
    Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques used in [53,52]. We also give an example to illustrate our statements.
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    Article
    Citation - Scopus: 1
    APPLICATIONS OF NON-UNIQUE FIXED POINT THEOREM OF CIRIC TO NONLINEAR INTEGRAL EQUATIONS
    (Department of Mathematics and Computer Sciences, University of Prishtina, 2019) Sevіnіk-Adigіüzel,R.; Karapinar,E.; Erhan,I.
    In this paper we discuss the application of the non-unique fixed point theorem of Cirić to nonlinear Fredholm integral equations. We establish an existence theorem for the solutions of such integral equations and apply the theorem to particular examples. © 2019 Universiteti i Prishtinës, Prishtinë, Kosovë.