Uniform convergence for multi-valued algorithms
type: Item
instance of: scholarly article
title: Uniform convergence for multi-valued algorithms
zbMATH Open document ID: 0930.47036
author: Ivan Raykov
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2000-02-09T00:00:00Z
review text: In a Banach space setting abstract algorithms are studied for finding a fixed point of the multivalued one-parametric generating operator with weakly compact values. To this end abstract algorithms with disturbances are considered while the disturbances of the algorithm are possibly considered as a control of the iterative process or as an error of the approximate calculations. Known sufficient conditions for the convergence and keeping the convergence rate of undisturbed algorithms with single-valued generating operator are generalized for those with disturbed multivalued generating operator and a comparative study of a set of sufficient conditions are carried out. These theoretical results as applied to unconstrained nonlinear optimization problems are presented.
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 1157066
zbMATH Keywords: multivalued algorithms
zbMATH Keywords: fixed point
zbMATH Keywords: multivalued generating operator
zbMATH Keywords: unconstrained nonlinear optimization problems
reviewed by: Otu Vaarmann
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1157066