Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations

Tung, Nguyen Minh; Bao, Nguyen Xuan Duy

doi:10.1007/s10898-021-01090-3

J Glob Optim

2022

DOI: 10.1007/s10898-021-01090-3

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Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations

Nguyen Minh Tung

Nguyen Xuan Duy Bao

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2024

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Higher-order optimality conditions with separated derivatives and sensitivity analysis for set-valued optimization

Tang,

2024

RAIRO-Oper. Res.

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In this paper, we establish optimality conditions and sensitivity analysis of set-valued optimization problems in terms of higher-order radial derivatives. First, we obtain the optimality conditions with separated derivatives for a set-valued optimization problem, here separated derivatives means the derivatives of objective and constraint functions are different. Then, some duality theorems for a mixed type of primal-dual set-valued optimization problem are gained. Finally, several results concerning higher-order sensitivity analysis are presented. The main results of this paper are illustrated by some concrete examples.

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Higher-order optimality conditions with separated derivatives and sensitivity analysis for set-valued optimization

Tang,

2024

RAIRO-Oper. Res.

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Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations

Cited by 1 publication

References 41 publications

Higher-order optimality conditions with separated derivatives and sensitivity analysis for set-valued optimization

Higher-order optimality conditions with separated derivatives and sensitivity analysis for set-valued optimization

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