Zobrazeno 1 - 10
of 187
pro vyhledávání: '"Taş, Nihal"'
Publikováno v:
Mathematica Moravica, vol. 27, no. 1, pp. 37-52, Jan. 2023
In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using the notion of $k$-ellipse on a metric space. For this purpose, we are inspired by the Caristi type contraction, Kannan type contraction, Chatter
Externí odkaz:
http://arxiv.org/abs/2112.10204
Autor:
Atyimur, Hülya, Taş, Nihal
In this paper we present some fixed-figure theorems as a geometric approach to the fixed-point theory when the number of fixed points of a self-mapping is more than one. To do this, we modify the Jleli-Samet type contraction and define new contractio
Externí odkaz:
http://arxiv.org/abs/2108.03516
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
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-disc problem occurs as a natural consequence of this problem. Our aim
Externí odkaz:
http://arxiv.org/abs/2101.10770
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:
Taş, Nihal
The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using\ some topological approaches. We introduce a new notion of $TVS$-cone $S$-metric space using some facts about topologi
Externí odkaz:
http://arxiv.org/abs/1801.00024