Remarks on the terminology of the mappings in fixed point iterative methods in metric spaces

DOI10.24193/fpt-ro.2023.2.05MaRDI QIDQ6576057

Ioan A. Rus, A. Petruşel, Vasile Berinde

Publication date: 22 July 2024

Published in: Fixed Point Theory (Search for Journal in Brave)

zbMATH Keywords

nonexpansive mappingmetric spacesdata dependencecontraction mappingcontractive mappingcyclic contractionquasicontractionopen problemgraphic contractioncyclic contractive mappingPicard mappingCaristi-Kirk mappingOstrowski propertywell-posedness of fixed point problemquasinonexpansiveCaristi mappingCaristi-Browder mappingcyclic nonexpansive mappinggraphic contractive mappinggraphic nonexpansive mappingquasicontractiveweakly Picard mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Related Items (3)

An inertial self-adaptive algorithm for solving split feasibility problems and fixed point problems in the class of demicontractive mappings ⋮ Fixed point results for multi-valued Feng-Liu contractions in \(b\)-metric spaces ⋮ Three point analogue of Ćirić-Reich-Rus type mappings with non-unique fixed points

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