Fixed-disc results on metric spaces

Abstract

In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings of a metric space (resp. an S-metric space). The fixed-disc (resp. fixed-circle) problem has been investigated in this setting. To obtain new fixed-disc results, we modify some known fixed-point techniques. Illustrative examples are also given to show the validity of our main results.

A GEOMETRIC INTERPRETATION TO FIXED-POINT THEORY ON Sb-METRIC SPACES H. AYTIMUR AND N. TAS

“…Now we give the following corollary: Corollary 2.1. If we take b = 1, then we get Theorem 2.2 in[24].…”