On the Convergence of Efficient Solutions to Semi-Infinite Set-Optimization Problems
On the Convergence of Efficient Solutions to Semi-Infinite Set-Optimization Problems
In this paper, a semi-infinite set optimization problem is studied, regarding the stability of its efficient solutions under perturbations of both objective and constraint maps. First, it is shown that the constraint map is continuous and compact-valued, under suitable assumptions. Then this result is used to study convergence conditions for the semi-infinite problem.
- Can Tho University Viet Nam
- Nam Can Tho University Viet Nam
- FPT University Viet Nam
Methods involving semicontinuity and convergence; relaxation, efficient solution, Sensitivity, stability, parametric optimization, semi-infinite set optimization problem, converse property, stability, Semi-infinite programming, Applied mathematics, Set-valued and variational analysis, domination
Methods involving semicontinuity and convergence; relaxation, efficient solution, Sensitivity, stability, parametric optimization, semi-infinite set optimization problem, converse property, stability, Semi-infinite programming, Applied mathematics, Set-valued and variational analysis, domination
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