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
Scopus Author ID
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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Author: Aksoy, Umit

Scholarly Output Search Results

Now showing 1 - 10 of 10
  • Thumbnail Image
    Article
    Citation - WoS: 52
    Citation - Scopus: 62
    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.
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    Article
    Citation - WoS: 1
    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) 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.
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    Article
    Citation - WoS: 144
    Citation - Scopus: 156
    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.
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    Article
    Citation - WoS: 17
    Citation - Scopus: 18
    Weak Ψ-Contractions on Partially Ordered Metric Spaces and Applications To Boundary Value Problems
    (Springeropen, 2014) Karapinar, Erdal; Erhan, Inci M.; Aksoy, Umit
    A class of weak psi-contractions satisfying the C-condition is defined on metric spaces. The existence and uniqueness of fixed points of such maps are discussed both on metric spaces and on partially ordered metric spaces. The results are applied to a first order periodic boundary value problem.
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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
    Citation - WoS: 69
    FIXED POINTS OF GENERALIZED α-ADMISSIBLE CONTRACTIONS ON b-METRIC SPACES WITH AN APPLICATION TO BOUNDARY VALUE PROBLEMS
    (Yokohama Publ, 2016) Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.
    A general class of alpha-admissible contractions defined via (b)-comparison functions on b-metric spaces is discussed. Existence and uniqueness of the fixed point for this class of contractions is studied. Some consequences are presented. The results are employed in the discussion of existence and uniqueness of solutions of first order boundary value problems for ordinary differential equations.
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    Article
    Citation - WoS: 201
    Citation - Scopus: 178
    On the Solution of a Boundary Value Problem Associated With a Fractional Differential Equation
    (Wiley, 2020) Sevinik Adiguzel, Rezan; Aksoy, Umit; Karapinar, Erdal; Erhan, Inci M.; Adiguzel, Rezan Sevinik
    The problem of the existence and uniqueness of solutions of boundary value problems (BVPs) for a nonlinear fractional differential equation of order 2
  • Thumbnail Image
    Article
    Citation - WoS: 146
    Citation - Scopus: 166
    On the Solutions of Fractional Differential Equations Via Geraghty Type Hybrid Contractions
    (Ministry Communications & High Technologies Republic Azerbaijan, 2021) Adiguzel, Rezan Sevinik; Sevinik Adıgüzel, Rezan; Aksoy, Umit; Aksoy, Ümit; Karapinar, Erdal; Karapınar, Erdal; Erhan, Inci M.; Erhan, İnci; Sevinik Adıgüzel, Rezan; Aksoy, Ümit; Karapınar, Erdal; Erhan, İnci; Mathematics; Mathematics; Mathematics
    The aim of this article is twofold. Firstly, to study fixed points of mappings on b metric spaces satisfying a general contractive condition called Geraghty type hybrid contraction. Secondly, to apply the theoretical results to the problem of existence and uniqueness of solutions of boundary value problems with integral boundary conditions associated with a certain type of nonlinear fractional differential equations. The conditions for the existence of fixed points for Geraghty type hybrid contractions are determined and several consequences of the main results are deduced. Some examples on boundary value problems for nonlinear fractional differential equations of order 3 < alpha <= 4 are provided, where the existence and uniqueness of solutions are shown by using Geraghty type contractions.
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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: 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.