Metric conditions, graphic contractions and weakly Picard operators
Copyright policy )Metric conditions, graphic contractions and weakly Picard operators
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?}
successive approximation, Fixed-point and coincidence theorems (topological aspects), metric space, graphic contraction, pre-weakly Picard mapping, well-posedness of fixed point problem, contraction type mapping, Ulam-Hyers stability, Fixed-point theorems, metric condition, interpolative Hardy-Rogers mapping, Picard mapping, weakly Picard mapping, Ostrowski property, generalized metric space, Set-valued maps in general topology
successive approximation, Fixed-point and coincidence theorems (topological aspects), metric space, graphic contraction, pre-weakly Picard mapping, well-posedness of fixed point problem, contraction type mapping, Ulam-Hyers stability, Fixed-point theorems, metric condition, interpolative Hardy-Rogers mapping, Picard mapping, weakly Picard mapping, Ostrowski property, generalized metric space, Set-valued maps in general topology
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