Corpus ID: 236318087

$\varphi $-fixed points of self-mappings on metric spaces with a geometric viewpoint

  title={\$\varphi \$-fixed points of self-mappings on metric spaces with a geometric viewpoint},
  author={Nihal Yilmaz Ozgur and Nihal Tacs},
A recent open problem was stated on the geometric properties of φfixed points of self-mappings of a metric space in the non-unique fixed point cases. In this paper, we deal with the solutions of this open problem and present some solutions via the help of appropriate auxiliary numbers and geometric conditions. We see that a zero of a given function φ can produce a fixed circle (resp. fixed disc) contained in the fixed point set of a self-mapping T on a metric space. Moreover, this circle (resp… Expand


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