Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems

YANG Yu-hong; LI Fei

doi:10.21656/1000-0887.380012

Volume 38 Issue 5

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YANG Yu-hong, LI Fei. Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems[J]. Applied Mathematics and Mechanics, 2017, 38(5): 526-538. doi: 10.21656/1000-0887.380012

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Sufficient Optimality Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems

doi: 10.21656/1000-0887.380012

YANG Yu-hong^1,2,
LI Fei¹

¹School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China;²School of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, P.R.China

Funds: The National Natural Science Foundation of China(11431004；11601248)

Received Date: 2017-01-10
Rev Recd Date: 2017-03-23
Publish Date: 2017-05-15

Abstract

Abstract

The nonsmooth semi-infinite multiobjective optimization problem (SIMOP) was addressed and its optimality conditions were discussed. First, the Clarke F-convexity hypothesis was imposed on some combinations of the objective functions and the constraint functions, the sufficient optimality conditions for the (weakly) efficient solution to the SIMOP were established. Next, the sufficient optimality conditions for the optimal solution to its scalar problem were obtained with the ChankongHaimes method.
- semi-infinite multiobjective optimization,
- (weakly) efficient solution,
- optimality condition,
- Clarke F-convexity

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References(25)

References

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