Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces

DOI10.1080/01630563.2021.1924780zbMath1476.54118arXiv2008.03930OpenAlexW3162030397WikidataQ114825594 ScholiaQ114825594MaRDI QIDQ5005294

Andrei Sipoş

Publication date: 9 August 2021

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.03930

zbMATH Keywords

fixed pointshyperbolic spacesuniformly convex hyperbolic spacesasymptotically nonexpansive mappings

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Uniform structures and generalizations (54E15) Fixed-point iterations (47J26)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• Construction of a sequence strongly converging to a fixed point of an asymptotically non-expansive mapping
• An application of proof mining to nonlinear iterations
• Construction of a fixed point for contractions in Banach space
• Iteration processes for nonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Nonexpansive iterations in hyperbolic spaces
• A quantitative mean ergodic theorem for uniformly convex Banach spaces
• Krasnoselskii's iteration process in hyperbolic space
• Some logical metatheorems with applications in functional analysis
• Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

This page was built for publication: Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces