Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications
Conference Paper in Published Proceedings
Mathematics and Computer Science
In this paper, new necessary conditions for Pareto minimal points to sets and Pareto minimizers for constrained multiobjective optimization problems are established without the sequentially normal compactness property and the asymptotical compactness condition imposed on closed and convex ordering cones, respectively. Our approach is based on a version of the separation theorem for nonconvex sets and the subdifferentials of vector-valued and set-valued mappings. Furthermore, applications in mathematical finance and approximation theory are discussed.
Bao, T.Q., and Chr. Tammer. “Lagrange Necessary Conditions for Pareto Minimizers in Asplund Spaces and Applications.” Nonlinear Analysis: Theory, Methods & Applications 75.3 (2012): 1089–1103.