Another version of the proximal point algorithm in a Banach space

DOI10.1016/j.na.2008.04.019zbMath1167.49031OpenAlexW2015086303MaRDI QIDQ1009631

Jen-Chih Yao, Ya. I. Al'ber

Publication date: 2 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.04.019

zbMATH Keywords

Banach spacesproximal point algorithmgeneralized projectionduality mappings

Mathematics Subject Classification ID

Newton-type methods (49M15) Duality theory (optimization) (49N15)

Related Items (5)

On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces ⋮ Projection methods for a system of nonlinear mixed variational inequalities in Banach spaces ⋮ A convergence rate of the proximal point algorithm in Banach spaces ⋮ Forward-backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators ⋮ A new class of generalizedf-projected dynamical system in Banach spaces

Cites Work

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• On the stability of iterative approximations to fixed points of nonexpansive mappings
• A proximal point method for nonsmooth convex optimization problems in Banach spaces
• Iterative methods for solving fixed-point problems with nonself-mappings in Banach spaces
• On the projection dynamical systems in Banach spaces
• Nonlinear Ill-posed Problems of Monotone Type
• On the moduli of convexity and smoothness
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications

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