Abstract: The concepts of well-posedness of l-set optimization problem under variable order structure are introduced, the metric characterizations and sufficient criteria of well-posedness of a l-set optimization problem are proposed, and the equivalent relations between the well-posedness of l-set optimization problem and that of a scalarization minimization problem are established. Finally, by discussing the lower semi-continuity and convexity of gap functions of l-set convex optimization problems, their well-posedness of are investigated.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Dening Qu, Caozong Cheng, "Well-Posedness of l-Set Optimization Problem Under Variable Order Structure," WSEAS Transactions on Mathematics, vol. 14, pp. 57-66, 2015, DOI:
Dening Qu, Caozong Cheng. Well-Posedness of l-Set Optimization Problem Under Variable Order Structure.
WSEAS Transactions on Mathematics. 2015;14:57-66.