A bundle-type auxiliary problem method for solving generalized variational-like inequalities

DOI10.1016/j.camwa.2007.11.034zbMath1142.49308OpenAlexW2019251717MaRDI QIDQ945201

Li-Ping Pang, Jie Shen

Publication date: 11 September 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.034

zbMATH Keywords

auxiliary problem principlepreinvex functiongeneralized variational-like inequalitynonconvex nonsmooth optimizationbundle method for nonconvex function

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40)

Related Items (6)

A note on the optimality condition for a bilevel programming ⋮ An approximate bundle method for solving nonsmooth equilibrium problems ⋮ An approximate redistributed proximal bundle method with inexact data for minimizing nonsmooth nonconvex functions ⋮ A new nonsmooth bundle-type approach for a class of functional equations in Hilbert spaces ⋮ Existence and iterative algorithm of solutions for a system of generalized nonlinear mixed variational-like inequalities ⋮ A Redistributed Bundle Algorithm for Generalized Variational Inequality Problems in Hilbert Spaces

Cites Work

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• A Linearization Algorithm for Nonsmooth Minimization
• A method of linearizations for linearly constrained nonconvex nonsmooth minimization
• A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization
• A New Approach to Lagrange Multipliers
• Variational-like inequalities
• Merit function for variational-like inequalitiets

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