An extension of A. Ostrowski's theorem on the round-off stability of iterations

DOI10.1007/BF02215974zbMath0885.47023MaRDI QIDQ1356807

Jacek R. Jachymski

Publication date: 23 April 1998

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137686

zbMATH Keywords

fixed point theoremscompact metric spacesBanach contractive mapsconvergence of an iteration proceduremetrically convex metric spacesstability of the procedure of successive approximations

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Algorithms for approximation of functions (65D15)

Related Items (16)

Unnamed Item ⋮ Round-off stability for multi-valued maps ⋮ Unnamed Item ⋮ Stability of tripled fixed point iteration procedures for mixed monotone mappings ⋮ The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ Common stationary point of multivalued asymptotically regular mappings ⋮ Stability results for Jungck-type iterative processes in convex metric spaces ⋮ Stability of tripled fixed point iteration procedures for monotone mappings ⋮ The stability of gradient-like methods ⋮ Stability of \(k\)-step fixed point iterative methods for some Prešić type contractive mappings ⋮ Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces ⋮ The Hutchinson-Barnsley theory for infinite iterated function systems ⋮ ON THE STABILITY OF NOOR ITERATIVE SCHEME FOR ZAMFIRESCU MULTI-VALUED CONTRACTION MAPPING IN METRIC SPACES ⋮ Weakly contractive iterated function systems and beyond: a manual ⋮ Path stability and nonlinear weak ergodic theorems

Cites Work

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• Sequences of mappings converging to a contraction mapping
• Fixed points for operators on metric spaces with conditional uniform equivalence of orbits
• Fixed point theorems and stability results for fixed point iteration procedures. II
• An iff fixed point criterion for continuous self-mappings on a complete metric space
• A Note on Contractive Mappings
• On Fixed and Periodic Points Under Contractive Mappings
• The Round‐off Stability of Iterations
• On Nonlinear Contractions

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