- $\varepsilon-$Strictly Subdifferential of Set-valued Map and Its Application Yu Li (yulilyy163.com) Abstract: In this paper, firstly, the concept of $\varepsilon-$strictly efficient subdifferential for set-valued map is introduced in Hausdorff locally convex topological vector spaces. Secondly, a characterization of this subdifferential by scalarization and the generalized $\varepsilon-$ Moreau-Rockafellar type theorem for set-valued maps are established. Finally, the necessary optimality condition of the constraint set-valued optimization problem for $\varepsilon-$ strictly efficient solutions is obtained in terms of Lagrange multiplier by using the concept of $\varepsilon-$ strictly efficient subdifferential for set-valued map. Keywords: set-valued map;~~$\varepsilon-$strictly efficiency; ~~subdifferential;~~$\varepsilon-$ Moreau-Rockafellar type theorem ~~ Lagrange multiplier; Category 1: Convex and Nonsmooth Optimization (Convex Optimization ) Citation: 16,Institute of Mathematics and Computer of Science, Yichun University,Yichun 336000,China;2015 Download: [PDF]Entry Submitted: 05/26/2015Entry Accepted: 05/26/2015Entry Last Modified: 05/26/2015Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Optmization Society.