Random products of contractions in metric and Banach spaces

DOI10.1016/0022-247X(82)90195-0zbMath0512.47042MaRDI QIDQ1839426

Ronald E. jun. Bruck

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergenceconvex setcommon fixed pointrandom iterationproximity mapsstrongly quasi-nonexpansive

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (23)

A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space ⋮ Some notes on Bauschke's condition ⋮ Unrestricted iterations of nonexpansive mappings in Hilbert space ⋮ A convergence result on random products of mappings in metric spaces ⋮ A convergence result on random products of mappings in metric trees ⋮ Convergence of random products of compact contractions in Hilbert space ⋮ Unrestricted products of contractions in Banach spaces ⋮ Strong convergence of alternating projections ⋮ Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one ⋮ Iteration methods for convexly constrained ill-posed problems in hilbert space ⋮ The asymptotic behavior of the composition of firmly nonexpansive mappings ⋮ On convergence of infinite products of convex combinations of mappings in CAT(0) spaces ⋮ On the relationship between the Kurdyka-Łojasiewicz property and error bounds on Hadamard manifolds ⋮ Iterative methods for solving variational inequalities in Euclidean space ⋮ Strict pseudocontractions and demicontractions, their properties, and applications ⋮ Cyclic projection methods on a class of nonconvex sets ⋮ On the quantitative asymptotic behavior of strongly nonexpansive mappings in Banach and geodesic spaces ⋮ Random Products of Contractions in Banach Spaces ⋮ Hilbertian convex feasibility problem: Convergence of projection methods ⋮ A Norm Convergence Result on Random Products of Relaxed Projections in Hilbert Space ⋮ Unrestricted iterations of nonexpansive mappings in Banach spaces ⋮ Asymptotic regularity, fixed points and successive approximations ⋮ On the unrestricted iteration of projections in Hilbert space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• A uniform approach to gradient methods for linear operator equations
• Construction of fixed points of nonlinear mappings in Hilbert space
• On a convergence principle in the Hilbert space
• The method of projections for finding the common point of convex sets

This page was built for publication: Random products of contractions in metric and Banach spaces