A minimax method for finding saddle points of upper semi-differentiable locally Lipschitz continuous functional in Banach space and its convergence
From MaRDI portal
Publication:898975
DOI10.1016/J.CAM.2015.09.025zbMath1335.49052OpenAlexW2196290189MaRDI QIDQ898975
Publication date: 21 December 2015
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.025
Numerical optimization and variational techniques (65K10) Nonsmooth analysis (49J52) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35)
Related Items (4)
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 ⋮ Lower bound estimation for a family of high-dimensional sparse covariance matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- Finite element methods (Part 1)
- Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
- Existence theorems for elliptic hemivariational inequalities involving the \(p\)-Laplacian
- Dual variational methods in critical point theory and applications
- Two nontrivial critical points for nonsmooth functionals via local linking and applications
- A local minimax characterization for computing multiple nonsmooth saddle critical points
- An existence theorem for nonlinear hemivariational inequalities at resonance
- Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance
- Unified Convergence Results on a Minimax Algorithm for Finding Multiple Critical Points in Banach Spaces
- Optimization and nonsmooth analysis
- Remarks on finding critical points
- The obstacle problem and partial differential equations with discontinuous nonlinearities
- A Minimax Method for Finding Multiple Critical Points in Banach Spaces and Its Application to Quasi-linear Elliptic PDE
- A minimax method for finding saddle critical points of upper semi-differentiable locally Lipschitz continuous functional in Hilbert space and its convergence
- ALGORITHMS AND VISUALIZATION FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS
This page was built for publication: A minimax method for finding saddle points of upper semi-differentiable locally Lipschitz continuous functional in Banach space and its convergence
