125 citations · 235 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
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…