125 citations · 235 across the 10 of their papers we have counts for
11 papers
-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 fixed-circle results related to Fc-contractive and Fc-expanding mappings on metric spaces
Nabil Mlaiki, Nihal Ozgur, Nihal Tas
The fixed-circle problem is a recent problem about the study of geometric properties of the fixed point set of a self-mapping on metric (resp. generalized metric) spaces. The fixed…
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…
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…
A New Cryptography Model via Fibonacci and Lucas Numbers
Sümeyra UçAr, Nihal Taş, Nihal Yilmaz Özgür
Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significiant problem in recent years. In this pape…
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…
A new contribution to discontinuity at fixed point
Nihal Taş, Nihal Yilmaz Özgür
The aim of this paper is to obtain new solutions to the open question on the existence of a contractive condition which is strong enough to generate a fixed point but which does no…
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…
Fixed-Circle Problem on S-Metric Spaces with a Geometric Viewpoint
Nihal Yilmaz Özgür, Nihal Taş
Recently, a new geometric approach which is called the fixed-circle problem has been gained to fixed-point theory. The problem is introduced and studied using different techniques…