Yazar "Özgür, Nihal" için listeleme
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Complex conformable Rolle's and mean value theorems
Uçar, Sümeyra; Özgür, Nihal (Springer Heidelberg, 2020)In this paper, we present the complex Rolle's and Mean Value Theorems for alpha-holomorphic functions and give some related results and applications of these theorems. -
Discontinuous convex contractions and their applications in neural networks
Bisht, Ravindra K.; Özgür, Nihal (Springer Heidelberg, 2021)In this paper, we show that the class of convex contractions of order m ∈ N is strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. As a by-product, we provide a new ... -
Finite Blaschke products and the golden ratio
Özgür, Nihal; Uçar, Sümeyra (Ankara Üniv. Fen Fakültesi, 2021)Geometric properties of finite Blaschke products have been intensively studied by many different aspects. In this paper, our aim is to study geometric properties of finite Blaschke products related to the golden ratio ... -
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-disc results via simulation functions
Özgür, Nihal (Scientific Technical Research Council Turkey-Tubitak, 2019)In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some ... -
Geometric properties of discontinuous fixed point set of (epsilon-delta contractions and applications to neural networks)
Bisht, Ravindra Kishor; Özgür, Nihal (Springer Basel AG, 2020)In this paper, we prove some fixed point theorems under a convex combination of generalized ( − δ) type rational contractions in which the fixed point may or may not be a point of discontinuity. As a by-product we explore ... -
Geometric properties of fixed points and simulation functions
Özgür, Nihal; Taş, Nihal (Tbilisi Centre for Mathematical Sciences, 2023)The main motivation of this paper is to investigate the geometric properties of non unique fixed points of self-mappings via simulation functions. Geometric properties of the fixed point set Fix(f) of a self-mapping f on ... -
Julia and Mandelbrot Sets of transcendental function via Fibonacci-Mann iteration
Özgür, Nihal; Antal, Swati; Tomar, Anita (Hindawi Ltd, 2022)In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sin(z(n )) + az + c, n >= 2; here, z is a complex variable, ... -
New complex-valued activation functions
Özgür, Nihal; Taş, Nihal (Balikesir University, 2020)We present a new type of activation functions for a complex-valued neural network (CVNN). A proposed activation function is constructed such that it fixes a given ellipse. We obtain an application to a complex-valued ... -
New discontinuity results at fixed point on metric spaces
Özgür, Nihal; Taş, Nihal (Springer Basel AG, 2021)Recently, the discontinuity problem at a fixed point has been studied by various aspects. In this paper, we investigate new solutions to the discontinuity problem using appropriate contractive conditions which are strong ... -
A new encoding/decoding algorithm via Fibonacci-Lucas tree diagrams
Özgür, Nihal; Uçar, Sümeyra; Taş, Nihal; Kaymak, Öznur Öztunç (World Scientific, 2024)In this paper, we present a new encoding and decoding method based on the recently introduced Minesweeper Model. Here, the main idea is to use Fibonacci-Lucas tree diagrams, and this proposed method uses a public key and ... -
A new generalization of Rhoades' condition
Taş, Nihal; Özgür, Nihal (Ramazan Yaman, 2022)In this paper, our aim is to obtain a new generalization of the well-known Rhoades' contractive condition. To do this, we introduce the notion of an S-normed space. We extend the Rhoades' contractive condition to S-normed ... -
New results on discontinuity at fixed point
Pant, R. P.; Özgür, Nihal; Taş, Nihal; Pant, Abhijit; Joshi, Mahesh C. (Springer Basel AG, 2020)We obtain a Meir-Keeler type fixed-point theorem which gives a new solution to the Rhoades' problem on the existence of contractive mappings that admit discontinuity at the fixed point. Meir-Keeler type solutions of the ... -
A new solution to the Rhoades' open problem with an application
Özgür, Nihal; Taş, Nihal (Sciendo, 2021)We give a new solution to the Rhoades' open problem on the discontinuity at fixed point via the notion of an S-metric. To do this, we develop a new technique by means of the notion of a Zamfirescu mapping. Also, we consider ... -
A new study on the fixed point sets of proinov-type contractions via rational forms
Zhou, Mi; Liu, Xiaolan; Saleem, Naeem; Fulga, Andree; Özgür, Nihal (MDPI, 2022)In this paper, we presented some new weaker conditions on the Proinov-type contractions which guarantees that a self-mapping T has a unique fixed point in terms of rational forms. Our main results improved the conclusions ... -
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. ... -
On the geometry of fixed points for self-mappings on s-metric spaces
Taş, Nihal; Özgür, Nihal (Ankara Univ, 2020)In this paper, we focus on some geometric properties related to the set Fix(T), the set of all fixed points of a mapping T : X -> X, on an S-metric space (X, S). For this purpose, we present the notions of an S-Pata type ... -
Pata zamfirescu type fixed-disc results with a proximal application
Özgür, Nihal; Taş, Nihal (Malaysian Mathematical Sciences Soc, 2020)This paper concerns with the geometric study of fixed points of a self-mapping on a metric space. We establish new generalized contractive conditions which ensure that a self-mapping has a fixed disc or a fixed circle. We ... -
Using optimization method for determining lactic acid bacteria counts in white cheese with different salt concentrations
İrkin, Reyhan; Özgür, Nihal; Taş, Nihal (Wiley, 2022)Total lactic acid bacteria, Lactococcus spp., yeast, and mold counts in white cheese were determined during 55 days of storage in brine solutions with 4%, 6%, 8%, 10%, 12%, 14%, and 16% (w/v) salt concentrations at 4 degrees ...
