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Mathematics

Some fixed-circle theorems on metric spaces

Nihal Yilmaz Özgür, Nihal Taş

2017.3.2Bulletin of the Malaysian Mathematical Sciences Society

DOI: 10.1007/s40840-017-0555-z

Abstract

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.

Citation format

ÖZGÜR, Nihal Yilmaz; TAŞ, Nihal. Some fixed-circle theorems on metric spaces [preprint]. arXiv, 2017. arXiv:1703.00771.