The approximate fixed point property in product spaces

DOI10.1016/j.na.2005.12.020zbMath1118.47047arXivmath/0510563OpenAlexW2143170598MaRDI QIDQ866523

Ulrich Kohlenbach, Laurenţiu Leuştean

Publication date: 14 February 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510563

zbMATH Keywords

product spacesproof miningapproximate fixed pointsmetric fixed point theorynonexpansive functions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functionals in proof theory (03F10)

Related Items (11)

The \((\alpha, \beta)\)-generalized convex contractive condition with approximate fixed point results and some consequence ⋮ Approximate fixed points of generalized convex contractions ⋮ Some approximate fixed point results and application on graph theory for partial (h-F)-generalized convex contraction mappings with special class of functions on complete metric space ⋮ On generalized convex contractions of type-2 in b-metric and 2-metric spaces ⋮ Global best approximate solutions for set-valued cyclic α-F-contractions ⋮ General logical metatheorems for functional analysis ⋮ On (α,p)-convex contraction and asymptotic regularity ⋮ CAT\((k)\)-spaces, weak convergence and fixed points ⋮ Some approximate fixed point theorems without continuity of the operator using auxiliary functions ⋮ Properties and principles in Branciari distance space ⋮ Hyperbolic spaces and directional contractions

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• Krasnoselskii's iteration process in hyperbolic space
• Reflexivity and approximate fixed points
• Some logical metatheorems with applications in functional analysis
• General logical metatheorems for functional analysis
• Fixed points and approximate fixed points in product spaces

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