New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces

From MaRDI portal
Publication:929661

DOI10.1016/j.na.2007.05.021zbMath1142.49015OpenAlexW2092061595MaRDI QIDQ929661

Radu Ioan Boţ, Sorin-Mihai Grad, Gert Wanka

Publication date: 18 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.05.021




Related Items

Duality theorems for separable convex programming without qualificationsFarkas-type results for vector-valued functions with applicationsSome characterizations of robust optimal solutions for uncertain fractional optimization and applicationsOn several types of basic constraint qualifications via coderivatives for generalized equationsSome characterizations of robust optimal solutions for uncertain convex optimization problemsSome characterizations of duality for DC optimization with composite functionsStrong duality and KKT conditions in nonconvex optimization with a single equality constraint and geometric constraintWeighted robust optimality of convex optimization problems with data uncertaintyNecessary and sufficient conditions for some constraint qualifications in quasiconvex programmingAsymptotic closure condition and Fenchel duality for DC optimization problems in locally convex spacesNecessary and sufficient constraint qualification for surrogate dualityOn set containment characterization and constraint qualification for quasiconvex programmingExtended Farkas lemma and strong duality for composite optimization problems with DC functionsNecessary and sufficient conditions for strong Fenchel-Lagrange duality via a coupling conjugation schemeStable zero Lagrange duality for DC conic programmingCharacterizations of \(\varepsilon\)-duality gap statements for constrained optimization problemsAttouch-Théra duality revisited: Paramonotonicity and operator splittingA complete characterization of strong duality in nonconvex optimization with a single constraintFarkas-type results for constrained fractional programming with DC functionsRobust duality in parametric convex optimizationExtended Farkas's lemmas and strong dualities for conic programming involving composite functionsCharacterizations of \(\varepsilon\)-duality gap statements for composed optimization problemsConstraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programmingOn constraint qualifications of a nonconvex inequalityOn biconjugates of infimal functionsOptimality conditions and total dualities for conic programming involving composite functionOn robust duality for fractional programming with uncertainty dataStable strong Fenchel and Lagrange duality for evenly convex optimization problemsRegularity conditions characterizing Fenchel-Lagrange duality and Farkas-type results in DC infinite programmingOptimization of boundary value problems for higher order differential inclusions and duality



Cites Work


This page was built for publication: New regularity conditions for strong and total Fenchel-Lagrange duality in infinite dimensional spaces