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

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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: 57
    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.
  • Article
    Citation - WoS: 3
    Citation - Scopus: 4
    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.
  • 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.
  • Article
    Citation - WoS: 25
    Citation - Scopus: 33
    Fixed Point Theorems in Complete Modular Metric Spaces and an Application To Anti-Periodic Boundary Value Problems
    (Univ Nis, Fac Sci Math, 2017) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    In this paper existence and uniqueness of fixed points for a general class of contractive and nonexpansive mappings on modular metric spaces is discussed. As an application of the theoretical results, the existence of a solution of anti-periodic boundary value problems for nonlinear first order differential equations of Caratheodory's type is considered in the framework of modular metric spaces.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 6
    A Note on 'coupled Fixed Point Theorems for Mixed <i>g</I>-monotone Mappings in Partially Ordered Metric Spaces'
    (Springer international Publishing Ag, 2014) Bilgili, Nurcan; Erhan, Inci M.; Karapinar, Erdal; Turkoglu, Duran
    Recently, some (common) coupled fixed theorems in various abstract spaces have appeared as a generalization of existing (usual) fixed point results. Unexpectedly, we noticed that most of such (common) coupled fixed theorems are either weaker or equivalent to existing fixed point results in the literature. In particular, we prove that the very recent paper of Turkoglu and Sangurlu 'Coupled fixed point theorems for mixed g-monotone mappings in partially ordered metric spaces [Fixed Point Theory and Applications 2013, 2013:348]' can be considered as a consequence of the existing fixed point theorems on the topic in the literature. Furthermore, we give an example to illustrate that the main results of Turkoglu and Sangurlu (Fixed Point Theory Appl. 2013:348, 2013) has limited applicability compared to the mentioned existing fixed point result.
  • Article
    Citation - WoS: 89
    Citation - Scopus: 99
    Lagrange Interpolation on Time Scales
    (Wilmington Scientific Publisher, Llc, 2022) Georgiev, Svetlin G.; Erhan, Inci M.; Guseinov, GS; Bohner, M
    In this paper, we introduce the Lagrange interpolation polynomials on time scales. We define an alternative type of interpolation functions called s-Lagrange interpolation polynomials. We discuss some properties of these polynomials and show that on some special time scales, including the set of real numbers, these two types of interpolation polynomials coincide. We apply our results on some particular examples.
  • 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.