Metric conditions, graphic contractions and weakly Picard operators
DOI:
https://doi.org/10.24193/subbmath.2025.1.11Keywords:
metric space, generalized metric space, contraction type mapping, metric condition, graphic contraction, successive approximation, Picard mapping, pre-weakly Picard mapping, weakly Picard mapping, interpolative Hardy-Rogers mappingAbstract
In the paper of S. Park (\emph{Almost all about Rus-Hicks-Rhoades maps in quasi-metric spaces}, Adv. Theory Nonlinear Anal. Appl., {\bf 7}(2023), No. 2, 455-472), the author solves the following problem: \emph{Which metric conditions imposed on \(f\) imply that \(f\) is a graphic contraction?}In this paper we study the following problem: \emph{Which metric conditions imposed on \(f\) imply that \(f\) satisfies the conditions of Rus saturated principle of graphic contractions?}References
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