Metric conditions, graphic contractions and weakly Picard operators

In the paper of S. Park (Almost all about Rus-Hicks-Rhoades maps in quasi-metric spaces, Adv. Theory Nonlinear Anal. Appl., 7(2023), No. 2, 455- 472), the author solves the following problem: Which metric conditions imposed on f imply that f is a graphic contraction? In this paper we study the follow- ing problem: Which metric conditions imposed on f imply that f satis es the conditions of Rus saturated principle of graphic contractions?

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Publication Details

Journal
Studia Universitatis Babes-Bolyai Matematica
Published
2025-02-26
DOI
https://doi.org/10.24193/subbmath.2025.1.11
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Metric conditions, graphic contractions and weakly Picard operators

Alexandru‐Darius Filip
Studia Universitatis Babes-Bolyai Matematica
Fixed Point Theorems Analysis
article

Metric conditions, graphic contractions and weakly Picard operators

Alexandru‐Darius Filip
article en

Abstract

In the paper of S. Park (Almost all about Rus-Hicks-Rhoades maps in quasi-metric spaces, Adv. Theory Nonlinear Anal. Appl., 7(2023), No. 2, 455- 472), the author solves the following problem: Which metric conditions imposed on f imply that f is a graphic contraction? In this paper we study the follow- ing problem: Which metric conditions imposed on f imply that f satis es the conditions of Rus saturated principle of graphic contractions?

Studia Universitatis Babes-Bolyai MatematicaVol. 70(1)
Babeș-Bolyai University (RO)
Openalex Percentile: Top 92%
Fixed Point Theorems Analysis
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Metric conditions, graphic contractions and weakly Picard operators — Alexandru‐Darius Filip · Studia Universitatis Babes-Bolyai Matematica (2025) | TGRS Research Map | TGRS