Existence and boundedness of second-order Karush-Kuhn-Tucker multipliers for set-valued optimization with variable ordering structures

DOI10.11650/tjm/180505zbMath1401.90225OpenAlexW2807126483MaRDI QIDQ1990421

Quoc Khanh Phan, Minh Tung Nguyen

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1528509853

zbMATH Keywords

constraint qualificationnondominated pointvariable ordering structurecontingent derivative of index \(\gamma\)second-order KKT multiplier

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (5)

Set-valued optimization in variable preference structures with new variants of generalized convexity ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ Lagrange multiplier rules for weak approximate Pareto solutions to constrained vector optimization problems with variable ordering structures ⋮ Exact penalization and optimality conditions for approximate directional minima ⋮ Karush-Kuhn-Tucker multiplier rules for efficient solutions of set-valued equilibrium problem with constraints

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