Browsing by Author "Fulga, Andreea"

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A discussion on a pata type contraction via iterate at a point
(2020) Karapınar, Erdal; Fulga, Andreea; Rakočević, Vladimir; 19184
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.
A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
(2020) Karapınar, Erdal; Fulga, Andreea; Karapınar, Erdal; Tirado, Pedro; 19184
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.
A fixed point theorem for Proinov mappings with a contractive iterate
(2023) Karapınar, Erdal; Fulga, Andreea; 19184; Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü
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.
A Note on the Gornicki-Proinov Type Contraction
(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.
A Result on a Pata-Ciri Type Contraction at a Point
(2020) Karapınar, Erdal; Fulga, Andreea; Rakocevic, Vladimir; 19184
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.
A Result On A Pata-Ciric Type Contraction At A Point
(MDPI AG, 2020) Karapınar, Erdal; Fulga, Andreea; Rakoˇcevi´c, Vladimir; 19184
In this manuscript, we define a new contraction mapping, Pata-Cirictype contraction at a point, that merges distinct contractions defined by Seghal, Pata and Ciric. We proved that in a complete space, each Pata-Cirictype contraction at a point possesses a fixed point. We express an example to illustrate the observed result.
A survey:F-contractions with related fixed point results
(2020) Karapınar, Erdal; Fulga, Andreea; Agarwal, Ravi P.; 19184
In this note, we aim to review the recent results onF-contractions, introduced by Wardowski. After examining the fixed point results for such operators, we collect the sequent results in this direction in a different setting. One of the aims of this survey is to provide a complete collection of several fixed generalizations and extensions ofF-contractions.
Advances on the fixed point results via simulation function involving rational terms
(2021) Karapınar, Erdal; Chen, Chi-Ming; Alghamdi, Maryam A.; Fulga, Andreea; 19184
In this paper, we propose two new contractions via simulation function that involves rational expression in the setting of partial b-metric space. The obtained results not only extend, but also generalize and unify the existing results in two senses: in the sense of contraction terms and in the sense of the abstract setting. We present an example to indicate the validity of the main theorem.
Contraction in Rational Forms in the Framework of Super Metric Spaces
(2022) Karapinar, Erdal; Fulga, Andreea; 19184
In this paper, we investigate contractions in a rational form in the context of the supermetric space, which is a very interesting generalization of the metric space. We consider an illustrative example to support this new result on supermetric space.
Discussion on the hybrid Jaggi-Meir-Keeler type contractions
(2022) Karapınar, Erdal; Fulga, Andreea; 19184
In this paper, the notion of hybrid Jaggi-Meir-Keeler type contraction is introduced. The existence of a fixed point for such operators is investigated. The derived results combine and extend a number of existing results in the corresponding literature. Examples are established to express the validity of the obtained results.
Discussions on Proinov- Cb -Contraction Mapping on b -Metric Space
(2023) Karapınar, Erdal; Fulga, Andreea; 19184
In the present paper, we introduce the notion of Proinov-Cb-contraction mapping and we discuss it within the most interesting abstract structure, namely, b-metric spaces. We further take into consideration the necessary conditions to guarantee the existence and uniqueness of fixed points for such mappings, as well as indicate the validity of the main results by providing illustrative examples.
Discussions on Proinov- Cb -Contraction Mapping on b -Metric Space
(2023) Karapınar, Erdal; Fulga, Andreea; 19184
In the present paper, we introduce the notion of Proinov-Cb-contraction mapping and we discuss it within the most interesting abstract structure, namely, b-metric spaces. We further take into consideration the necessary conditions to guarantee the existence and uniqueness of fixed points for such mappings, as well as indicate the validity of the main results by providing illustrative examples.
FIXED POINT ON CONVEX b-METRIC SPACE VIA ADMISSIBLE MAPPINGS
(2021) Karapınar, Erdal; Fulga, Andreea; 19184
In this manuscript, we define a convex admissible mapping. Using this notion, we consider specific contraction involving rational terms via convex admissible mapping. We investigate the necessary and sufficient requirement to guarantee a fixed point in the framework of convex b-metric spaces.
Fixed Point Results Via Simulation Functions in the Context of Quasi-Metric Space
(Unıv Nıs, Fac Scı Math, 2018) Fulga, Andreea; Taş, Ayşegül; 29252
In this paper, we investigate the existing non-unique fixed points of certain mappings, via simulation functions in the context of quasi-metric space. Our main results generalize and unify several existing results on the topic in the literature.
Fixed Point Theorems For Mappings With A Contractive Iterate At A Point In Modular Metric Spaces
(2022) Karapinar, Erdal; Aksoy, Ümit; Fulga, Andreea; Erhan, İnci M.; 19184
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.
Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions
(2021) Karapınar, Erdal; Fulga, Andreea; Lopez de Hierro, Antonio Francisco Roldan; 19184
In this manuscript we introduce the notion of (alpha,beta,psi,phi)-interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative contractions, and ample spectrum contraction. We investigate the necessary and sufficient conditions to guarantee existence and uniqueness of the fixed point of such mappings.
Interpolative Meir–Keeler Mappings in Modular Metric Spaces
(2022) Karapınar, Erdal; Fulga, Andreea; Yeşilkaya, Seher Sultan; 19184
Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular metric spaces. In particular, we examine the existence of interpolative Meir–Keeler contraction types via admissible mappings for fixed point theory. Our results bring together several results available in the current corresponding literature.
Multiparametric contractions and related Hardy-Roger type fixed point theorems
(2020) Karapınar, Erdal; Karapınar, Erdal; Fulga, Andreea; 19184
In this paper we present some novel fixed point theorems for a family of contractions depending on two functions (that are not defined on t = 0) and on some parameters that we have called multiparametric contractions. We develop our study in the setting of b-metric spaces because they allow to consider some families of functions endowed with b-metrics deriving from similarity measures that are more general than norms. Taking into account that the contractivity condition we will employ is very general (of Hardy-Rogers type), we will discuss the validation and usage of this novel condition. After that, we introduce the main results of this paper and, finally, we deduce some consequences of them which illustrates the wide applicability of the main results. © 2020 by the authors.
New Results on Perov-Interpolative Contractions of Suzuki Type Mappings
(2021) Karapınar, Erdal; Fulga, Andreea; Yeşilkaya, Seher Sultan; 19184
In this paper, we introduce some common fixed point theorems for interpolative contraction operators using Perov operator which satisfy Suzuki type mappings. Further, some results are given. These results generalize several new results present in the literature. © 2021 Erdal Karapinar et al.
Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel
(2019) Jarad, Fahd; Karapınar, Erdal; Jarad, Fahd; Karapınar, Erdal; 234808
In this manuscript, we aim to refine and characterize nonlinear F-contractions in a more general framework of b-metric spaces. We investigate the existence and uniqueness of such contractions in this setting. We discuss the solutions to differential equations in the setting of fractional derivatives involving Mittag–Leffler kernels (Atangana–Baleanu fractional derivative) by using nonlinear F-contractions that indicate the genuineness of the presented result. © 2019 Elsevier Ltd