On the Convergence of Efficient Solutions to Semi-Infinite Set-Optimization Problems
Keywords:
Semi-infinite set optimization problem, stability, efficient solution, converse property, domination.Abstract
We consider semi-infinite set optimization problems and study the stability of efficient solutions for such problems. We first discuss upper and lower semicontinuity properties of the constraint sets. Next, we introduce a concept of converse property for the original problem and employ it to establish the upper convergence for efficient solutions. Besides, we also propose concepts of sequential domination to consider the lower convergence for efficient solutions.
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