Conjugate Maps, Subgradients and Conjugate Duality in Set-Valued Optimization
C. S. Lalitha, Ruchi Arora · Numerical Functional Analysis and Optimization · 2007
Using the concept of supremum/infimum of a set, defined in terms of the closure of the set, we introduce the notions of conjugate and biconjugate maps as well as that of subgradients of a set-valued map. Conjugate duality results are also established for a set-valued optimization problem.