31 citations · 57 across the 7 of their papers we have counts for
8 papers
A Matrix-Based Polyalphabetic Algorithm for Information Encoding and Decoding Using Number Sequences
Muhammet Karagöz, Nihal Özgür
In this paper, we propose a matrix-based polyalphabetic data encoding and decoding scheme using Fibonacci, Leonardo, Jacobsthal, and Lucas sequences. The method employs three seque…
A New Generalization of Rhoades' Condition
Nihal TaŞ, Nihal Özgür
In this paper, our aim is to obtain a new generalization of the well-kown Rhoades' contractive condition. To do this, we introduce the notion of an -normed space. We extend the…
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…
A New Solution to the Rhoades' Open Problem with an Application
Nihal Özgür, Nihal Taş
We give a new solution to the Rhoades' open problem on the discontinuity at fixed point via the notion of an -metric. To do this, we inspire with the notion of a Zamfirescu mapp…
Right Circulant Matrices with Generalized Fibonacci and\ Lucas Polynomials and Coding Theory
Sümeyra Uçar, Nihal Yilmaz Özgür
In this paper, we give two new coding algorithms by means of right circulant matrices with elements generalized Fibonacci and Lucas polynomials. For this purpose, we study basic pr…
On the Zeros of -Bonacci Polynomials and Their Derivatives
Nihal Yilmaz Özgür, Öznur Öztunç
The purpose of the present paper is to examine the zeros of -Bonacci polynomials and their derivatives. We confirm a conjecture about the zeros of -Bonacci polynomials for so…
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…
New Generalized Fixed Point Results on -Metric Spaces
Nihal Taş, Nihal Yilmaz Özgür
Recently -metric spaces have been introduced as the generalizations of metric and -metric spaces. In this paper we investigate some basic properties of this new space. We…