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

65/89

Supervised MSc Theses

5

Supervised PhD Theses

0

WoS Citation Count

1573

Scopus Citation Count

1441

Patents

0

Projects

0

WoS Citations per Publication

24.20

Scopus Citations per Publication

22.17

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

Scopus Quartile Distribution

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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: 21
    Citation - Scopus: 24
    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.
  • 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) 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) 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) 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: 6
    Adomian Polynomials Method for Dynamic Equations on Time Scales
    (DergiPark, 2021) 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: 53
    Citation - Scopus: 64
    F-Contraction Mappings on Metric-Like Spaces in Connection With Integral Equations on Time Scales
    (Springer-verlag Italia Srl, 2020) 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.