The Adaptive Projected Subgradient Method over the Fixed Point Set of Strongly Attracting Nonexpansive Mappings

DOI10.1080/01630560600884661zbMath1114.47066OpenAlexW2068400585MaRDI QIDQ3422786

Konstantinos Slavakis, Nobuhiko Ogura, Isao Yamada

Publication date: 14 February 2007

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600884661

zbMATH Keywords

fixed point theoryadaptive filteringnonexpansive mappingsubgradientasymptotic minimization

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical methods based on nonlinear programming (49M37) Fixed-point theorems (47H10) Programming in abstract spaces (90C48) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Convex functions and convex programs in convex geometry (52A41) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (3)

Minimizing the Moreau Envelope of Nonsmooth Convex Functions over the Fixed Point Set of Certain Quasi-Nonexpansive Mappings ⋮ The Bruck's ergodic iteration method for the Ky Fan inequality over the fixed point set ⋮ Sliding window generalized kernel affine projection algorithm using projection mappings

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