A refinement of the Browder-Göhde-Kirk fixed point theorem and some applications

DOI10.1007/S11784-022-00985-2OpenAlexW4297192812WikidataQ115230395 ScholiaQ115230395MaRDI QIDQ2087428

Janusz Matkowski

Publication date: 20 October 2022

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

Full work available at URL: https://doi.org/10.1007/s11784-022-00985-2

zbMATH Keywords

fixed-point theoremLipschitz operatorgeneralization of a nonexpansive operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (2)

A generalization of the Goebel-Kirk fixed point theorem for asymptotically nonexpansive mappings ⋮ Restrictive Lipschitz continuity, basis property of a real sequence, and fixed-point principle in metrically convex spaces

Cites Work

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• Fixed point theorem in a uniformly convex paranormed space and its application
• Remarks on Lipschitzian mappings and some fixed point theorems
• The Fixed Point Property for Non-Expansive Mappings, II
• The Fixed Point Property for Non-Expansive Mappings
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances

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