2024 Fixed point results for convex orbital nonexpansive type mappings
Enrique Llorens-Fuster
Topol. Methods Nonlinear Anal. 63(1): 79-97 (2024). DOI: 10.12775/TMNA.2023.047

Abstract

We define some classes of generalized nonexpansive mappings under assumptions concerning the convex combinations of two consecutive points in their orbits. For these mappings, in the setting of Banach spaces that enjoy normal structure, we provide several fixed point results.

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Enrique Llorens-Fuster. "Fixed point results for convex orbital nonexpansive type mappings." Topol. Methods Nonlinear Anal. 63 (1) 79 - 97, 2024. https://doi.org/10.12775/TMNA.2023.047

Information

Published: 2024
First available in Project Euclid: 20 April 2024

MathSciNet: MR4730834
Digital Object Identifier: 10.12775/TMNA.2023.047

Keywords: fixed point , Nonexpansive mapping , normal structure

Rights: Copyright © 2024 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.63 • No. 1 • 2024
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