Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization
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Publication:4609473
DOI10.1137/16M1079920zbMath1437.90145OpenAlexW2790876493MaRDI QIDQ4609473
Nguyen Minh Tung, Phan Quoc Khanh
Publication date: 3 April 2018
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1079920
weak solutionconstraint qualificationhigher-order optimality conditionHölder metric subregularitycomplementarity slacknessfirm solutioncontingent-type derivativeStudniarski derivative
Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Programming in abstract spaces (90C48)
Related Items (9)
Special issue dedicated to the 75th birthday of professor Phan Quoc Khanh ⋮ Strict efficiency conditions for nonsmooth optimization with inclusion constraint under Hölder directional metric subregularity ⋮ Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ New higher-order strong Karush-Kuhn-Tucker conditions for proper solutions in nonsmooth optimization ⋮ On necessary optimality conditions with higher-order complementarity slackness for set-valued optimization problems ⋮ New set-valued directional derivatives: calculus and optimality conditions ⋮ Unnamed Item ⋮ Karush-Kuhn-Tucker multiplier rules for efficient solutions of set-valued equilibrium problem with constraints
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