Subdifferential Calculus Rules in Convex Analysis: A Unifying Approach Via Pointwise Supremum Functions
From MaRDI portal
Publication:3629525
DOI10.1137/070700413zbMath1163.49014OpenAlexW1998611061MaRDI QIDQ3629525
Abderrahim Hantoute, Marco A. López, Constantin Zalinescu
Publication date: 27 May 2009
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10045/75119
Related Items
Convex Representatives of the Value Function and Aumann Integrals in Normed Spaces, New tour on the subdifferential of supremum via finite sums and suprema, Weaker conditions for subdifferential calculus of convex functions, Hiriart-Urruty-Phelps-like formula for the subdifferential of integral sums, A note on the Morozov principle via Lagrange duality, A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing, Weak Sharp Minima for Convex Infinite Optimization Problems in Normed Linear Spaces, Non-convex semi-infinite min-max optimization with noncompact sets, Convexity and closedness in stable robust duality, Characterizations of the subdifferential of convex integral functions under qualification conditions, On e-convex functions and e-subdifferentials in locally convex spaces, New formulas for the Fenchel subdifferential of the conjugate function, Stationarity and regularity of infinite collections of sets: applications to infinitely constrained optimization, Marco A. López, a pioneer of continuous optimization in Spain, On a zero duality gap result in extended monotropic programming, Stability in linear optimization and related topics. A personal tour, Subdifferential of the conjugate function in general Banach spaces, A note on subdifferentials of pointwise suprema, A primal--dual operation on sets linked with closed convex relaxation processes, On \(\varepsilon\)-quasi efficient solutions for fractional infinite multiobjective optimization problems with locally Lipschitz data, Variational analysis based on proximal subdifferential on smooth Banach spaces, Sensitivity Analysis in Applications with Deviation, Risk, Regret, and Error Measures, Conjugation-based approach to the \(\varepsilon\)-subdifferential of convex suprema, On optimality conditions and duality theorems for approximate solutions of nonsmooth infinite optimization problems, Unnamed Item, Characterization of Lipschitz continuous difference of convex functions, The use of the relative interior in integration with nonconvex data, Unnamed Item, Formulae for the conjugate and the subdifferential of the supremum function, Moreau--Rockafellar-Type Formulas for the Subdifferential of the Supremum Function, Subdifferential of the supremum function: moving back and forth between continuous and non-continuous settings, Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators, Nonconvex integration using ϵ-subdifferentials, A general representation of \(\delta\)-normal sets to sublevels of convex functions, Revisiting some rules of convex analysis, Valadier-like formulas for the supremum function I, On the subdifferential of the supremum of an arbitrary family of extended real-valued functions, Subsmooth semi-infinite and infinite optimization problems, Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming, Subdifferential of the supremum via compactification of the index set, The \(\varepsilon\)-strategy in variational analysis: illustration with the closed convexification of a function, Characterizations of convex approximate subdifferential calculus in Banach spaces, Qualification conditions-free characterizations of the \(\varepsilon \)-subdifferential of convex integral functions, Unnamed Item, Alternative representations of the normal cone to the domain of supremum functions and subdifferential calculus, Valadier-like formulas for the supremum function II: The compactly indexed case, Towards Supremum-Sum Subdifferential Calculus Free of Qualification Conditions, Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions, Moreau Envelope of Supremum Functions with Applications to Infinite and Stochastic Programming, Necessary and Sufficient Optimality Conditions in DC Semi-infinite Programming, A Weighted Difference of Anisotropic and Isotropic Total Variation for Relaxed Mumford--Shah Color and Multiphase Image Segmentation