Zobrazeno 1 - 10
of 223
pro vyhledávání: '"Özgür, Nihal"'
Autor:
Özgür, Nihal, Taş, Nihal
A recent open problem was stated on the geometric properties of $\varphi $-fixed points of self-mappings of a metric space in the non-unique fixed point cases. In this paper, we deal with the solutions of this open problem and present some solutions
Externí odkaz:
http://arxiv.org/abs/2107.11199
Autor:
TaŞ, Nihal, Özgür, Nihal
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 $S$-normed space. We extend the Rhoades' contractive condition to $S$-normed spaces and define a new t
Externí odkaz:
http://arxiv.org/abs/2105.13129
Autor:
Özgür, Nihal, Taş, Nihal
Geometric properties of the fixed point set $Fix(f)$ of a self-mapping $f$ on a metric or a generalized metric space is an attractive issue. The set $Fix(f)$ can contain a geometric figure (a circle, an ellipse, etc.) or it can be a geometric figure.
Externí odkaz:
http://arxiv.org/abs/2102.05417
Autor:
Taş, Nihal, Özgür, Nihal
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 and obtain new fixed-circle results related to multivalued contractions
Externí odkaz:
http://arxiv.org/abs/1911.02939
Autor:
Özgür, Nihal, Taş, Nihal
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 inspire with the notion of a Zamfirescu mapping. Also, we consider a recent problem called the "fixed-circle probl
Externí odkaz:
http://arxiv.org/abs/1910.12304
Autor:
Özgür, Nihal, Taş, Nihal
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-mapping has a fixed disc or a fixed circle. We introduce the notion of a
Externí odkaz:
http://arxiv.org/abs/1910.12302
Autor:
Özgür, Nihal Yilmaz
Publikováno v:
Turkish Journal of Mathematics, 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 strong conditions such as comp
Externí odkaz:
http://arxiv.org/abs/1901.02623
Autor:
Uçar, Sümeyra, Özgür, Nihal Yilmaz
Publikováno v:
Journal of Mathematics and Applications, 2019 vol. 42
Let $B(z)$ be a finite Blaschke product of degree $n$. We consider the problem when a finite Blaschke product can be written as a composition of two nontrivial Blaschke products of lower degree related to the condition $% B\circ M=B$ where $M$ is a M
Externí odkaz:
http://arxiv.org/abs/1712.07850
Autor:
Uçar, Sümeyra, Özgür, Nihal Yilmaz
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 properties of right circulant matrices using generalized Fibonacci polyn
Externí odkaz:
http://arxiv.org/abs/1801.01766
Autor:
Özgür, Nihal Yilmaz, Uçar, Sümeyra
It is known that the golden ratio $\alpha =\frac{1+\sqrt{5}}{2}$ has many applications in geometry. In this paper we consider some geometric properties of finite Blaschke products related to the golden ratio.
Comment: 15 pages, 7 figures
Comment: 15 pages, 7 figures
Externí odkaz:
http://arxiv.org/abs/1712.07965