A strongly convergent hybrid proximal method in Banach spaces.

DOI10.1016/j.jmaa.2003.09.030zbMath1044.90089OpenAlexW2111091944MaRDI QIDQ1425146

Rolando Gárciga Otero, Benar Fux Svaiter

Publication date: 15 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.030

zbMATH Keywords

strong convergencerelative errorinexact solutionsproximal point methodtotally convex functionenlargement of maximal monotone operatorshybrid steps

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Programming in abstract spaces (90C48) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces ⋮ Proximal Point Method for Quasi-Equilibrium Problems in Banach Spaces ⋮ Strong convergence of a splitting projection method for the sum of maximal monotone operators ⋮ Strong convergence of a splitting proximal projection method for the sum of two maximal monotone operators ⋮ Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces ⋮ Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces ⋮ Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ Strong Convergence of an Inexact Proximal Point Algorithm for Equilibrium Problems in Banach Spaces

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