125 citations · 178 across the 8 of their papers we have counts for
11 papers
Zeros and Their Distribution for Leonardo Polynomials
Muhammet Karagöz, Nihal Özgür
We investigate the zeros of Leonardo polynomials and their distribution in the complex plane. We show that the structure of the zeros differs between even and odd degrees. For even…
-fixed points of self-mappings on metric spaces with a geometric viewpoint
Nihal Özgür, Nihal Taş
A recent open problem was stated on the geometric properties of -fixed points of self-mappings of a metric space in the non-unique fixed point cases. In this paper, we deal with…
Geometric Properties of Fixed Points and Simulation Functions
Nihal Özgür, Nihal Taş
Geometric properties of the fixed point set of a self-mapping on a metric or a generalized metric space is an attractive issue. The set can contain a geometri…
New Multivalued Contractions and the Fixed-Circle Problem
Nihal Taş, Nihal Özgür
In this paper, we focus on the fixed-circle problem on metric spaces by means of the multivalued mappings. We introduce new multivalued contractions using Wardowski's techniques an…
Pata Zamfirescu Type Fixed-Disc Results with a Proximal Application
Nihal Özgür, Nihal Taş
This paper is concerning to 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-ma…
Fixed-disc results via simulation functions
Nihal Yilmaz Özgür
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…
Finite Blaschke Products and Decomposition
Sümeyra Uçar, Nihal Yilmaz Özgür
Let be a finite Blaschke product of degree . We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of…
Finite Blaschke Products and the Golden Ratio
Nihal Yilmaz Özgür, Sümeyra Uçar
It is known that the golden ratio has many applications in geometry. In this paper we consider some geometric properties of finite Blaschke products relate…
A New Coding/Decoding Algorithm using Fibonacci Numbers
Nihal Taş, Sümeyra Uçar, Nihal Yilmaz Özgür +1
In this paper we present a new method of coding/decoding algorithms using Fibonacci -matrices. This method is based on the blocked message matrices. The main advantage of our mo…
Pell Coding and Pell Decoding Methods with Some Applications
Nihal Taş, Sümeyra Uçar, Nihal Yılmaz Özgür
We obtain a new coding and decoding method using the generalized Pell -numbers. The relations among the code matrix elements, error detection and correction have been estab…
Some fixed-circle theorems on metric spaces
Nihal Yilmaz Özgür, Nihal Taş
The fixed-point theory and its applications to various areas of science are well known. In this paper we present some existence and uniqueness theorems for fixed circles of self-ma…