Some fixed-circle theorems on metric spaces

2017/03/02 by Özgür, Nihal Yilmaz, Taş, Nihal
#37E10 #47H10 #54H25 #55M20 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1703.00771

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.

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