Browsing by Author "Karapinar, Erdal"

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Citation - WoS: 7
Citation - Scopus: 6
A Brief Overview and Survey of the Scientific Work by Feng Qi
(Mdpi, 2022) Agarwal, Ravi Prakash; Karapinar, Erdal; Kostic, Marko; Cao, Jian; Du, Wei-Shih; 19184
In the paper, the authors present a brief overview and survey of the scientific work by Chinese mathematician Feng Qi and his coauthors.
A common fixed point theorem of a Greguš type on convex cone metric spaces
(2011) Abdeljawad, Thabet; Karapinar, Erdal; 19184; Matematik
The result of Ćirić [1] on a common fixed point theorem of Greguš type on metric spaces is extended to the class of cone metric spaces. Namely, a common fixed point theorem is proved in s-convex cone metric spaces under the normality of the cone and another common fixed point theorem is proved in convex cone metric spaces under the assumption that the cone is strongly minihedral.
Citation - WoS: 20
Citation - Scopus: 23
A discussion on a generalized Geraghty multi-valued mappings and applications
(Springer, 2020) Afshari, Hojjat; Atapour, Maryam; Karapinar, Erdal; 19184; Matematik
This research intends to investigate the existence results for both coincidence points and common fixed point of generalized Geraghty multi-valued mappings endowed with a directed graph. The proven results are supported by an example. We also consider fractional integral equations as an application.
Citation - WoS: 5
Citation - Scopus: 6
A discussion on a pata type contraction via iterate at a point
(Univ Nis, Fac Sci Math, 2020) Karapinar, Erdal; Fulga, Andreea; Rakocevic, Vladimir; 19184; Matematik
In this paper, we introduce the notion of Pata type contraction at a point in the context of a complete metric space. We observe that such contractions possesses unique fixed point without continuity assumption on the given mapping. Thus, is extended the original results of Pata. We also provide an example to illustrate its validity.
Citation - WoS: 9
Citation - Scopus: 11
A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
(Mdpi, 2020) Alegre, Carmen; Fulga, Andreea; Karapinar, Erdal; Tirado, Pedro; 19184; Matematik
In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples the results obtained.
Citation - WoS: 7
Citation - Scopus: 10
A Discussion On Random Meir-Keeler Contractions
(Mdpi, 2020) Li, Cheng-Yen; Karapinar, Erdal; Chen, Chi-Ming; 19184; Matematik
The aim of this paper is to enrich random fixed point theory, which is one of the cornerstones of probabilistic functional analysis. In this paper, we introduce the notions of random, comparable MT-gamma contraction and random, comparable Meir-Keeler contraction in the framework of complete random metric spaces. We investigate the existence of a random fixed point for these contractions. We express illustrative examples to support the presented results.
Citation - WoS: 2
Citation - Scopus: 2
A discussion on the coincidence quasi-best proximity points
(Univ Nis, Fac Sci Math, 2021) Fouladi, Farhad; Abkar, Ali; Karapinar, Erdal; 19184; Matematik
In this paper, we first introduce a new class of the pointwise cyclic-noncyclic proximal contraction pairs. Then we consider the coincidence quasi-best proximity point problem for this class. Finally, we study the coincidence quasi-best proximity points of weak cyclic-noncyclic Kannan contraction pairs. We consider an example to indicate the validity of the main result.
Citation - WoS: 9
Citation - Scopus: 10
A Discussion On the Existence of Best Proximity Points That Belong to the Zero Set
(Mdpi, 2020) Karapinar, Erdal; Abbas, Mujahid; Farooq, Sadia; 19184; Matematik
In this paper, we investigate the existence of best proximity points that belong to the zero set for the alpha p -admissible weak (F,phi) -proximal contraction in the setting of M-metric spaces. For this purpose, we establish phi -best proximity point results for such mappings in the setting of a complete M-metric space. Some examples are also presented to support the concepts and results proved herein. Our results extend, improve and generalize several comparable results on the topic in the related literature.
Citation - WoS: 0
Citation - Scopus: 1
A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces
(Univ Nis, Fac Sci Math, 2020) Vo Viet Tri; Karapinar, Erdal; 19184; Matematik
The main aim of this paper is to prove the existence of the fixed point of the sum of two operators in setting of the cone-normed spaces with the values of cone-norm belonging to an ordered locally convex space. We apply this result to prove the existence of global solution of the Cauchy problem with perturbation of the form {x'(t) = f[t, x(t)] + g[t, x(t)], t is an element of[0,infinity), x(0) = x(0)is an element of F-1, in a scale of Banach spaces f(F-s; parallel to center dot parallel to(s)) : s is an element of(0, 1]}.
Citation - WoS: 1
Citation - Scopus: 2
A fixed point theorem for a system of Pachpatte operator equations
(Springer Basel Ag, 2021) Karapinar, Erdal; Ozturk, Ali; Rakocevic, Vladimir; 19184; Matematik
In this paper, we investigate sufficient conditions for the existence of solutions to the system {Tx=x, alpha(i)(x)=0(E), i = 1,2, ... r, where 0(E) is the zero vector of E, and alpha(i) : E -> E i = 1, 2, ... , r are mappings, T is a mapping satisfying the Pachpatte-contraction.
Citation - WoS: 4
Citation - Scopus: 2
A fixed point theorem for Proinov mappings with a contractive iterate
(Zhejiang Univ Press, 2023) Karapinar, Erdal; Fulga, Andreea; 19184; Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü; Matematik
In this paper, we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point. In other words, we combine and unify the basic approaches of Proinov and Sehgal in the framework of the complete metric spaces. We consider examples to illustrate the validity of the obtained result.
Citation - WoS: 79
Citation - Scopus: 82
A generalized contraction principle with control functions on partial metric spaces
(Pergamon-elsevier Science Ltd, 2012) Abdeljawad, Thabet; Karapinar, Erdal; Tas, Kenan; 19184; 4971; Matematik
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In this article, we prove a generalized contraction principle with control functions phi and psi on partial metric spaces. The theorems we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions. (C) 2011 Elsevier Ltd. All rights reserved.
Citation - WoS: 0
A New Generalization of M-Metric Space With Some Fixed Point Theorems
(Univ Nis, 2021) Karapinar, Erdal; Roy, Kushal; Saha, Mantu; 19184; Matematik
In this paper, we introduce a new sequential space as a generalization of M-metric spaces and M-b-metric spaces. In this generalized space we define two contractive mappings namely m-contraction and m-quasi-contraction and prove some fixed point theorems for such type of mappings. Several illustrative examples have been presented in strengthening the hypothesis of our theorems.
Citation - WoS: 21
Citation - Scopus: 20
A Note on the Gornicki-Proinov Type Contraction
(Hindawi Ltd, 2021) Karapinar, Erdal; De La Sen, Manuel; Fulga, Andreea; 19184
In this paper, we propose a notion of the Gornicki-Proinov type contraction. Then, we prove the uniqueness and existence of the fixed point for such mappings in the framework of the complete metric spaces. Some illustrative examples are also expressed to strengthen the observed results.
Citation - WoS: 49
Citation - Scopus: 58
A Numerical Schemes and Comparisons for Fixed Point Results With Applications to the Solutions of Volterra Integral Equations in Dislocatedextendedb-Metricspace
(Elsevier, 2020) Panda, Sumati Kumari; Karapinar, Erdal; Atangana, Abdon; Matematik
In this article, we propose a generalization of both b-metric and dislocated metric, namely, dislocated extended b-metric space. After getting some fixed point results, we suggest a relatively simple solution for a Volterra integral equation by using the technique of fixed point in the setting of dislocated extended b-metric space. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
Citation - WoS: 1
Citation - Scopus: 1
A Result on a Pata-Ciri Type Contraction at a Point
(Mdpi, 2020) Karapinar, Erdal; Fulga, Andreea; Rakocevic, Vladimir; 19184; Matematik
In this manuscript, we define a new contraction mapping, Pata-Ciri type contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciri. We proved that in a complete space, each Pata-Ciri type contraction at a point possesses a fixed point. We express an example to illustrate the observed result.
Citation - WoS: 6
Citation - Scopus: 7
A study of common fixed points that belong to zeros of a certain given function with applications
(Vilnius Univ, inst Mathematics & informatics, 2021) Saleh, Hayel N.; Imdad, Mohammad; Karapinar, Erdal; 19184; Matematik
In this paper, we establish some point of phi-coincidence and common phi-fixed point results for two self-mappings defined on a metric space via extended C-G-simulation functions. By giving an example we show that the obtained results are a proper extension of several well-known results in the existing literature. As applications of our results, we deduce some results in partial metric spaces besides proving an existence and uniqueness result on the solution of system of integral equations.
Citation - WoS: 14
Citation - Scopus: 15
A study of symmetric contractions with an application to generalized fractional differential equations
(Springer, 2021) Hussain, Aftab; Jarad, Fahd; Karapinar, Erdal; 234808; 19184; Matematik
This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.
Citation - WoS: 9
Citation - Scopus: 13
A study on k-generalized ψ-Hilfer fractional differential equations with periodic integral conditions
(Wiley, 2024) Salim, Abdelkrim; Bouriah, Soufyane; Benchohra, Mouffak; Lazreg, Jamal Eddine; Karapinar, Erdal; 19184; Matematik
This paper deals with some existence and uniqueness results for a class of problems systems for nonlinear k-generalized psi-Hilfer fractional differential equations with periodic conditions. The arguments are based on Mawhins coincidence degree theory. Furthermore, an illustration is presented to demonstrate the plausibility of our results.
Citation - WoS: 0
A Survey On The Fixed Point Theorems Via Admissible Mapping
(Area innovacion & desarrollo, 2022) Karapinar, Erdal; 19184; Matematik
In this survey, we discuss the crucial role of the notion of admissible mapping in the metric fixed point theory. Adding admissibility conditions to the statements leads not only to generalizing the existing results but also unifying several corresponding results in different settings. In particular, a contraction via admissible mapping involves and covers contractions defined on partially ordered sets, and contractions forming cyclic structure.