Modified proximal point algorithms for solving constrained minimization and fixed point problems in complete CAT(0) spaces

DOI10.1007/s00009-018-1144-6zbMath1477.65097OpenAlexW2800396695WikidataQ129969820 ScholiaQ129969820MaRDI QIDQ723802

Prasit Cholamjiak, Nawitcha Onjai-uea, Withun Phuengrattana

Publication date: 24 July 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1144-6

zbMATH Keywords

CAT(0) spacesnonexpansive mappingsproximal point algorithmfixed point problemsconvex minimization problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)

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First Order Methods for Optimization on Riemannian Manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Monotone inclusion problem and fixed point problem of a generalized demimetric mapping in CAT(0) spaces ⋮ Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces ⋮ Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings

Uses Software

• UNLocBoX

Cites Work

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• Monotone Operators and the Proximal Point Algorithm
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
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