Fréchet Second-Order Subdifferentials of Lagrangian Functions and Optimality Conditions
DOI10.1137/22m1512454zbMath1527.49022OpenAlexW4380879525MaRDI QIDQ6158003
Duong Thi Viet An, Hong-Kun Xu, Nguyen Dong Yen
Publication date: 22 June 2023
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/22m1512454
Lagrange multipliertangent setsecond-order necessary optimality conditionsecond-order sufficient optimality conditioncone constraintFréchet second-order subdifferentialminimization problem on Banach spaces
Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56) Set-valued and variational analysis (49J53) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Optimality conditions for problems in abstract spaces (49K27)
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