On the convergence of inexact proximal point algorithm on Hadamard manifolds

DOI10.11650/TJM.18.2014.3066zbMath1357.49067OpenAlexW2077091319MaRDI QIDQ514676

Parviz Ahmadi, Hadi Khatibzadeh

Publication date: 9 March 2017

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

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3066

zbMATH Keywords

convergenceresolventmaximal monotone operatorsubdifferentialHadamard manifoldproximal point algorithm

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25)

Related Items (14)

Inexact proximal point methods for quasiconvex minimization on Hadamard manifolds ⋮ The modified proximal point algorithm in Hadamard spaces ⋮ Enlargement of monotone vector fields and an inexact proximal point method for variational inequalities in Hadamard manifolds ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES ⋮ On the convergence rate of an inexact proximal point algorithm for quasiconvex minimization on Hadamard manifolds ⋮ An extragradient-type algorithm for variational inequality on Hadamard manifolds ⋮ The strong convergence of a proximal point algorithm in complete CAT(0) metric spaces ⋮ Unnamed Item ⋮ Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ Rate of convergence for proximal point algorithms on Hadamard manifolds ⋮ Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings ⋮ Weak sharpness and finite termination for variational inequalities on Hadamard manifolds ⋮ An evolution equation governed by a quasi-nonexpansive mapping on Hadamard manifolds and its backward discretization

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