Second-order optimality conditions and Lagrange multiplier characterizations of the solution set in quasiconvex programming

DOI10.1080/02331934.2019.1625351zbMath1476.90347arXiv1311.2845OpenAlexW3098225114MaRDI QIDQ5221264

Vsevolod I. Ivanov

Publication date: 25 March 2020

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2845

zbMATH Keywords

Karush-Kuhn-Tucker optimality conditionscharacterizations of the solution setmultiobjective nonsmooth optimizationsecond-order Mangasarian-Fromovitz constraint qualificationssecond-order pseudoconvex function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Higher-order efficiency conditions for constrained vector equilibrium problems ⋮ On characterizations of solution sets of interval-valued quasiconvex programming problems ⋮ Second-order optimality conditions for efficiency in \(C^{1,1}\)-smooth quasiconvex multiobjective programming problem ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations

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