Some Fixed-Circle Theorems on Metric Spaces

By Nihal Yilmaz Özgür, Nihal Tas. Bulletin of the Malaysian Mathematical Sciences Society, 2017

124 citations recorded by the source corpus.

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-mappings on metric spaces with geometric interpretation. We verify our results by illustrative examples.

Subfields: Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/83e92c9c999667462d32e6a01eae349e8d920085

Citations in the corpus

• New Types of Fc-Contractions and the Fixed-Circle Problem (2018, unknown): “For example, in [5], fixed-circle results were”