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

73/96

Supervised MSc Theses

5

Supervised PhD Theses

0

WoS Citation Count

1593

Scopus Citation Count

1448

Patents

0

Projects

0

WoS Citations per Publication

24.51

Scopus Citations per Publication

22.28

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
Current Page: 1 / 6

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2002 - 200952010 - 2019442020 - 202516

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Author of Publication: search.filters.isAuthorOfPublication.1e2d1aac-8f23-4c84-8d68-63f1080be5f0

Scholarly Output Search Results

Now showing 1 - 10 of 65
  • Article
    Citation - WoS: 11
    Citation - Scopus: 8
    Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
    (Hindawi Ltd, 2012-01) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.
    We prove coupled coincidence point and coupled fixed point results of F : X x X -> X and g : X -> X involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 13
    A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
    (Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.; Sevinik Adıgüzel, Rezan
    The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.
  • 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.
  • 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.
  • Article
    Citation - Scopus: 5
    Adomian Polynomials Method for Dynamic Equations on Time Scales
    (DergiPark, 2021-09-30) Georgiev,S.G.; Erhan,I.M.; Bohner, Martin
    A recent study on solving nonlinear differential equations by a Laplace transform method combined with the Adomian polynomial representation, is extended to the more general class of dynamic equations on arbitrary time scales. The derivation of the method on time scales is presented and applied to particular examples of initial value problems associated with nonlinear dynamic equations of first order. © 2021, DergiPark. All rights reserved.
  • Article
    Citation - WoS: 54
    Citation - Scopus: 64
    F-Contraction Mappings on Metric-Like Spaces in Connection With Integral Equations on Time Scales
    (Springer-verlag Italia Srl, 2020-06-07) Agarwal, Ravi P.; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    In this paper we investigate the existence and uniqueness of fixed points of certain (phi,F)-type contractions in the frame of metric-like spaces. As an application of the theorem we consider the existence and uniqueness of solutions of nonlinear Fredholm integral equations of the second kind on time scales. We also present a particular example which demonstrates our theoretical results.
  • Master Thesis
    Zaman Skalasında Dinamik Denklemlerin Sayısal Çözümleri
    (2021) Sulaıman, Sarah; Erhan, İnci
    Bu tezin amacı, zaman skalasında dinamik denklemler için bazı sayısal yöntemleri ¨ incelemektir. Bu nedenle, keyfi zaman skalası için Euler yöntemi ve ikinci mertebe- ¨ den Taylor serisi yöntemi analiz edilmiş¸ ve açıklanmıştır. Her iki yöntem için hata ve ¨ yakınsaklık analizleri de verilmiştir. Trapezoid (Yamuk) kuralı olarak bilinen sayısal yöntem, ikinci mertebeden Taylor serisi yönteminden elde edilmiştir. Her iki yöntem, birinci ve ikinci mertebeden dinamik denklemler için başlangıç değer problemlerine uygulanmıştır. Örneklerin parametreler içermesi sayesinde, başlangıç¸ değer problemlerinin çeşitli zaman skalalarında ve farklı başlangıç¸ değerleri verilerek incelenebilmesi olanağı vardır. Sayısal sonuçlar Matlab kullanılarak hesaplanmıştır ve ilgili yaklaşık ve tam çözümler, hem değerleri tablolanarak, hem de grafikleri çizilerek karşılaştırılmıştır. Son olarak, incelenen yöntemlerle ilgili sonuçlar ve bazı ek yorumlar verilmiştir.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 4
    Fixed Point Theorems for Mappings With a Contractive Iterate at a Point in Modular Metric Spaces
    (House Book Science-casa Cartii Stiinta, 2022-06-15) Karapinar, Erdal; Aksoy, Umit; Fulga, Andreea; Erhan, Inci M.
    In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.
  • 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.