Nonsmooth Constrained Optimization and Multidirectional Mean Value Inequalities

DOI10.1137/S105262349732339XzbMath0981.49014OpenAlexW4308291271MaRDI QIDQ4702305

Jean-Noël Corvellec, Marc Lassonde, Didier Aussel

Publication date: 24 November 1999

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s105262349732339x

zbMATH Keywords

subdifferentialoptimality conditionmultidirectional mean value inequalityconstrained variational principlesmooth normsFermat rule

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Methods involving semicontinuity and convergence; relaxation (49J45) Inequalities involving derivatives and differential and integral operators (26D10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (13)

On nonconvex version of the inequality of Clarke and Ledyaev ⋮ Asymptotical well behaviour for constrained minimisation problems ⋮ Error Bounds and Multipliers in Constrained Optimization Problems with Tolerance ⋮ New Multirectional Mean Value Inequality ⋮ Links between directional derivatives through multidirectional mean value inequalities ⋮ First-order rules for nonsmooth constrained optimization ⋮ Multidirectional Mean Value Inequalities in Quasidifferential Calculus ⋮ Unnamed Item ⋮ Subdifferential properties of quasiconvex and pseudoconvex functions: Unified approach ⋮ A generalized multidirectional mean value inequality and dynamic optimization ⋮ Variational analysis and mathematical economics 1: Subdifferential calculus and the second theorem of welfare economics ⋮ Subdifferential stability and subdifferential sum rules ⋮ Variational pairs and applications to stability in nonsmooth analysis.

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