A minimax method for finding saddle critical points of upper semi-differentiable locally Lipschitz continuous functional in Hilbert space and its convergence

DOI10.1090/S0025-5718-2013-02669-5zbMath1273.65092MaRDI QIDQ5326503

Xudong Yao

Publication date: 6 August 2013

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

zbMATH Keywords

convergenceHilbert spacenumerical experimentsminimax methodlocally Lipschitz continuous functionalnonsmooth saddle critical point

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52) Numerical methods based on nonlinear programming (49M37) Existence of solutions for minimax problems (49J35) Existence theories for problems in abstract spaces (49J27)

Related Items (8)

Ljusternik-Schnirelman minimax algorithms and an application for finding multiple negative energy solutions of semilinear elliptic Dirichlet problem involving concave and convex nonlinearities. I: Algorithms and convergence ⋮ Convergence analysis of a minimax method for finding multiple solutions of hemivariational inequality in Hilbert space ⋮ A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence ⋮ Two classes of Ljusternik-Schnirelman minimax algorithms and an application for finding multiple negative energy solutions of a class of \(p\)-Laplacian equations ⋮ A minimax method for finding saddle points of upper semi-differentiable locally Lipschitz continuous functional in Banach space and its convergence ⋮ Finding Gateaux-Saddles by a Local Minimax Method ⋮ When Bingham meets Bratu: mathematical and computational investigations ⋮ Convergence analysis of a minimax method for finding multiple solutions of semilinear elliptic equation.: I: On polyhedral domain

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