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On subdifferential calculus for set-valued mappings and optimality conditions
Authors:Ahmed Taa
Institution:aDépartement de Mathématiques, Faculté des Sciences et Techniques, B. P. 549 Marrakech, Morocco
Abstract:The aim of this paper is to establish formulas for the subdifferentials of the sum and the composition of convex set-valued mappings under the Attouch–Brézis qualification condition. An application to a general set-valued optimization problem is considered.
Keywords:Optimality conditions  Lagrange multipliers  Subdifferential  Set-valued mapping  Scalarization
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