DOI: 10.48550/arxiv.2107.11199
View full text
Sign up to set email alerts

Abstract: 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. fixed disc) is … Show more

Help me understand this report

This publication either has no citations yet, or we are still processing them

Set email alert for when this publication receives citations?

See others like this or search for similar articles