Erhan, İnci

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
No research topics data found.

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Scholarly Output

65

Articles

58

Views / Downloads

68/93

Supervised MSc Theses

5

Supervised PhD Theses

0

WoS Citation Count

1584

Scopus Citation Count

1444

Patents

0

Projects

0

WoS Citations per Publication

24.37

Scopus Citations per Publication

22.22

Open Access Source

27

Supervised Theses

5

JournalCount
Fixed Point Theory and Applications10
Filomat5
Abstract and Applied Analysis4
Journal of Inequalities and Applications3
Journal of Nonlinear and Convex Analysis3
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Scholarly Output Search Results

Now showing 1 - 10 of 65
  • Article
    Citation - WoS: 11
    Citation - Scopus: 21
    The Taylor Series Method and Trapezoidal Rule on Time Scales
    (Elsevier Science inc, 2020-08) 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.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 3
    Existence of solutions of integral equations via fixed point theorems
    (Springeropen, 2014-04-03) 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.
  • Master Thesis
    Çeşitli Taban Fonksiyonları ile Sanki-spektral Yöntemler ve Kuvantum Mekaniğe Uygulamaları
    (2017) Wlıe, Saeıda; Erhan, İnci
    Bu çalışmada, sanki-spektral yöntemler ve onların sıradan diferansiyel denklemler ile ilgili özdeğer problemlere uygulamalarını inceledik. Özel olarak, ikinci mertebeden diferansiyel denklemleri ve belirli örnek olarak polinom potansiyelli kuvantum sistemlerin Schrödinger denklemini ele aldık. Kendine es¸ özdeğer problemleri ve polinom potansiyeline sahip parçacıkların Schrödinger denklemini tanıttıktan sonra, Lagrange interpolasyonu ve ortogonal polinomların bazı önemli özelliklerini hatırlattık. Herhangi bir dereceden bir ortogonal polinomun köklerinin bulunmasına yönelik, simetrik tridiagonal matris için özdeğer problemi kullanan bir yöntem sunduk. Hermite, Assosiye Laguerre, Chebyshev ve Legendre polinomlarının köklerinin bulunmasında kullanılan simetrik tridiagonal matrisleri oluşturduk. Bundan sonra, yayınlanmıs¸ makaleleri çalışarak, Hermite ve Assosiye Laguerre polinomları kullanan sanki-spektral formülasyon oluşturduk. Ayrıca, bağımsız değişken üzerinden dönüşüm kullanarak sonsuz aralığı sonlu aralığa dönüştürdük ve Chebyshev ile Legendre polinomları kullanan sanki-spektral formülasyon elde ettik. Özel örnek olarak, yukarıda bahsedilen dört tür ortogonal polinomları kullanan sanki-spektral yöntemleri, polinom potansiyeline sahip kuvantum sistemlerin Schrödinger denklemini çözmek için uyguladık. Elde ettiğimiz sayısal sonuçları, başka yazarlar tarafından yayınlanan sayısal sonuçlarla karşılaştırdık ve kendi yöntemimizin yeterliliği ile ilgili yorumlarda bulunduk.
  • Article
    Citation - WoS: 40
    Citation - Scopus: 50
    Fixed Points of (ψ, Φ) Contractions on Rectangular Metric Spaces
    (Springer international Publishing Ag, 2012-09-04) 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.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 24
    Best Proximity Points of Generalized Almost Ψ-Geraghty Contractive Non-Self
    (Springer international Publishing Ag, 2014-02-11) 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.
  • 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.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 3
    Uniqueness of Solution for Higher-Order Nonlinear Fractional Differential Equations With Multi-Point and Integral Boundary Conditions
    (Springer-verlag Italia Srl, 2021-06-28) Sevinik-Adiguzel, Rezan; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Adiguzel, Rezan Sevinik
    This study is devoted to the development of alternative conditions for existence and uniqueness of nonlinear fractional differential equations of higher-order with integral and multi-point boundary conditions. It uses a novel approach of employing a fixed point theorem based on contractive iterates of the integral operator for the corresponding fixed point problem. We start with developing an existence-uniqueness theorem for self-mappings with contractive iterate in a b-metric-like space. Then, we obtain the unique solvability of the problem under suitable conditions by utilizing an appropriate b-metric-like space.
  • 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.
  • Book Part
    Divided and A-Divided Differences on Time Scales
    (De Gruyter, 2023-09-04) 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.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Cyclic Contractions and Related Fixed Point Theorems on <i>g</I>-metric Spaces
    (Natural Sciences Publishing Corp-nsp, 2014-07-01) 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.