Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization

CAO Qi; FENG Min

doi:10.21656/1000-0887.440245

Volume 45 Issue 4

Apr. 2024

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CAO Qi, FENG Min. Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization[J]. Applied Mathematics and Mechanics, 2024, 45(4): 502-508. doi: 10.21656/1000-0887.440245

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Higher-Order KKT Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization

doi: 10.21656/1000-0887.440245

CAO Qi,
FENG Min

School of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2023-08-17
Rev Recd Date: 2023-12-07
Publish Date: 2024-04-01

Abstract

Abstract

The nonsmooth semi-infinite multiobjective optimization problems were investigated. The higher-order weak KKT sufficient optimality conditions for strictly local efficient solutions were established in terms of higher-order lower Studniarski derivatives. Furthermore, under the assumption that all multipliers associated with objective functions are positive in optimality conditions, the higher-order strong KKT sufficient optimality conditions for strictly local Borwein-properly efficient solutions would be achieved. These sufficient optimality conditions were established without any convexity assumptions.

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References(18)

References

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