Yazar "Mlaiki, Nabil" için listeleme
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Fixed discs in quasi-metric spaces
Aydi, Hassen; Taş, Nihal; Özgür, Nihal Yılmaz; Mlaiki, Nabil (House Book Science-Casa Cartii Stiinta, 2021)In this paper, we present some results of fixed disc and common fixed disc in quasi-metric spaces, under some very interesting contractions. Obtained results are supported by illustrative examples. -
Fixed point theorems in symmetric controlled m-metric type spaces
Suwais, Khaled; Taş, Nihal; Özgür, Nihal; Mlaiki, Nabil (MDPI, 2023)One of the frequently studied approaches in metric fixed-point theory is the generalization of the used metric space. Under this approach, in this study, we introduce a new extension of M-metric spaces, called controlled ... -
Fixed-disc results on metric spaces
Taş, Nihal; Mlaiki, Nabil; Aydi, Hassen; Özgür, Nihal (Univ Nis, 2021)In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this ... -
Fixed-discs in rectangular metric spaces
Aydi, Hassen; Taş, Nihal; Özgür, Nihal Yılmaz; Mlaiki, Nabil (MDPI, 2019)In this manuscript, we present some results related to fixed-discs of self-mappings in rectangular metric spaces. To do this, we give new techniques modifying some classical notions such as Banach contraction principle, ... -
A new extension of the m-b-metric spaces
Mlaiki, Nabil; Özgür, Nihal Yılmaz; Mukheimer, Aiman; Taş, Nihal (Univ Prishtines, 2018)In this paper, we present a new notion which is called an extended Mb-metric space as a generalization of an M-b-metric space. We investigate some basic and topological properties of this new space. Furthermore, an extended ... -
New fixed-point theorems on an S-metric space via simulation functions
Mlaiki, Nabil; Özgür, Nihal Yılmaz; Taş, Nihal (MDPI, 2019)In this paper, we prove new fixed-point theorems using the set of simulation functions on an S-metric space with some illustrative examples. Our results are stronger than some known fixed-point results. Furthermore, we ... -
A new generalization of metric spaces: rectangular M-metric spaces
Özgür, Nihal Yılmaz; Mlaiki, Nabil; Taş, Nihal; Souayah, Nizar (Springer Heidelberg, 2018)In this paper, we introduce the concept of the rectangular M-metric spaces, along with its topology and we prove some fixed-point theorems under different contraction principles with various techniques. The obtained results ... -
New types of f-c-contractions and the fixed-circle problem
Taş, Nihal; Özgür, Nihal Yılmaz; Mlaiki, Nabil (MDPI, 2018)In this paper we investigate some fixed-circle theorems using C ' iric ' ' s technique ( resp. Hardy-Rogers' technique, Reich's technique and Chatterjea's technique) on a metric space. To do this, we define new types of ... -
On the fixed circle problem on metric spaces and related results
Mlaiki, Nabil; Özgür, Nihal; Taş, Nihal; Santina, Dania (MDPI, 2023)The fixed-circle issue is a geometric technique that is connected to the study of geometric characteristics of certain points, and that are fixed by the self-mapping of either the metric space or of the generalized space. ... -
Some common fixed circle results on metric and s-metric spaces with an application to activation functions
Taş, Nihal; Kaplan, Elif; Santina, Dania; Mlaiki, Nabil; Shatanawi, Wasfi (MDPI, 2023)In this paper, we modify various contractive conditions (C.C.)s such as Ciric type (C.C.), Rhoades type (C.C.), Seghal type (C.C.), Bianchini type (C.C.), and Berinde type (C.C.) for two self-mappings, considering that ... -
Some common fixed-circle results on metric spaces
Mlaiki, Nabil; Taş, Nihal; Kaplan, Elif; Aiadi, Suhad Subhi; Souayah, Asma Karoui (MDPI, 2022)Recently, the fixed-circle problems have been studied with different approaches as an interesting and geometric generalization. In this paper, we present some solutions to an open problem CC: what is (are) the condition(s) ... -
Some common fixed-point and fixed-figure results with a function family on S b-metric spaces
Taş, Nihal; Ayoob, Irshad; Mlaiki, Nabil (Amer Inst Mathematical Sciences-AIMS, 2023)Abstract: In this paper, we prove a common fixed-point theorem for four self-mappings with a function family on S b-metric spaces. In addition, we investigate some geometric properties of the fixed-point set of a given ... -
Some fixed-circle results with different auxiliary functions
Kaplan, Elif; Mlaiki, Nabil; Taş, Nihal; Haque, Salma; Souayah, Asma Karoui (Hindawi Ltd, 2022)As the generalization of the fixed-point theory, the fixed-circle problems are interesting and notable geometric constructions. In this paper, we prove that some new necessary conditions are investigated for the existence ... -
Some fixed-disc results in double controlled quasi-metric type spaces
Taş, Nihal; Mlaiki, Nabil; Haque, Salma; Rizk, Doaa (MDPI, 2022)In this paper, we introduce new types of general contractions for self mapping on double controlled quasi-metric type spaces, where we prove the existence and uniqueness of fixed disc and circle for such mappings. -
Wardowski type contractions and the fixed-circle problem on s-metric spaces
Mlaiki, Nabil; Çelik, Ufuk; Taş, Nihal; Özgür, Nihal Yılmaz; Mukheimer, Aiman (Hindawi Ltd, 2018)In this paper, we present new fixed-circle theorems for self-mappings on an S-metric space using some Wardowski type contractions, psi-contractive, and weakly psi-contractive self-mappings. The common property in all of ...
