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Some Fixed-Circle Theorems on Metric Spaces

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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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Authors and Affiliations

  1. Department of Mathematics, Balıkesir University, 10145, Balıkesir, Turkey

    Nihal Yilmaz Özgür & Nihal Taş

Authors
  1. Nihal Yilmaz Özgür
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  2. Nihal Taş
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Correspondence to Nihal Yilmaz Özgür.

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Communicated by Poom Kumam.

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Özgür, N.Y., Taş, N. Some Fixed-Circle Theorems on Metric Spaces. Bull. Malays. Math. Sci. Soc. 42, 1433–1449 (2019). https://doi.org/10.1007/s40840-017-0555-z

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  • DOI: https://doi.org/10.1007/s40840-017-0555-z

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