Proximal methods in reflexive Banach spaces without monotonicity
From MaRDI portal
Publication:874955
DOI10.1016/j.jmaa.2006.07.076zbMath1160.90692OpenAlexW2017475874MaRDI QIDQ874955
Rolando Gárciga Otero, Alfredo Noel Iusem
Publication date: 10 April 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.076
proximal point algorithmhypomonotone operatorhybrid proximal-extragradient algorithmregularizing function
Related Items
A new approach to the proximal point method: convergence on general Riemannian manifolds ⋮ Global convergence of a proximal linearized algorithm for difference of convex functions ⋮ On the complexity of a hybrid proximal extragradient projective method for solving monotone inclusion problems ⋮ On Proximal Algorithms with Inertial Effects Beyond Monotonicity ⋮ A hybrid inertial algorithm for approximating solution of convex feasibility problems with applications ⋮ Proximal Point Method for Quasi-Equilibrium Problems in Banach Spaces ⋮ A generalized inexact proximal point method for nonsmooth functions that satisfies Kurdyka Łojasiewicz inequality ⋮ Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces ⋮ Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization ⋮ On the proximal point method for equilibrium problems in Hilbert spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proximal point methods and nonconvex optimization
- Proximal minimization algorithm with \(D\)-functions
- Iterative averaging of entropic projections for solving stochastic convex feasibility problems
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Prox-regularity of functions and sets in Banach spaces
- A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
- An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
- INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
- Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
- Monotone Operators and the Proximal Point Algorithm
- Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
- Variational Analysis
- On a proximal point method for convex optimization in banach spaces
- Inexact Variants of the Proximal Point Algorithm without Monotonicity
- On mixed Hölder-Minkowski inequalities and total convexity of certain functions in ℒ^p(Ω)
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
- Local Convergence of the Proximal Point Algorithm and Multiplier Methods Without Monotonicity