On the convergence rate of a proximal point algorithm for vector function on Hadamard manifolds

DOI10.1007/s40305-016-0146-yzbMath1398.90165OpenAlexW2570994762MaRDI QIDQ1697905

Feng-Mei Tang, Ping-Liang Huang

Publication date: 20 February 2018

Published in: Journal of the Operations Research Society of China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40305-016-0146-y

zbMATH Keywords

rate of convergencePareto optimalityPareto critical pointinexact proximal point algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Proximal point methods for Lipschitz functions on Hadamard manifolds: scalar and vectorial cases ⋮ Pareto solutions as limits of collective traps: an inexact multiobjective proximal point algorithm ⋮ Inexact proximal point methods for multiobjective quasiconvex minimization on Hadamard manifolds ⋮ Modified proximal point algorithms involving convex combination technique for solving minimization problems with convergence analysis

Uses Software

• UNLocBoX

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A subgradient method for multiobjective optimization on Riemannian manifolds
• Proximal point method for minimizing quasiconvex locally Lipschitz functions on Hadamard manifolds
• Hybrid approximate proximal method with auxiliary variational inequality for vector optimization
• An interior proximal method in vector optimization
• A proximal point-type method for multicriteria optimization
• A scalarization proximal point method for quasiconvex multiobjective minimization
• Rate of convergence for proximal point algorithms on Hadamard manifolds
• A linear scalarization proximal point method for quasiconvex multiobjective minimization
• Approximate proximal methods in vector optimization
• An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds
• Proximal Splitting Methods in Signal Processing
• Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Monotone Operators and the Proximal Point Algorithm
• Variational Analysis
• Proximal Point Algorithm On Riemannian Manifolds
• Signal Recovery by Proximal Forward-Backward Splitting

This page was built for publication: On the convergence rate of a proximal point algorithm for vector function on Hadamard manifolds