MMN-3287
Nonsmooth set variational inequality problems and optimality criteria for set optimization
E. Karaman;Abstract
In this work, set-valued optimization problems are considered according to an order relation, which is a partial order on the family such that contains nonempty bounded sets of the space. A generalized convexity is defined for set-valued mapping by using the partial order relation. Nonsmooth variational inequality problems are introduced with the aid of M-directionally derivative. Some optimality criteria including the necessary and sufficient optimality conditions are obtained for mentioned optimization problems.
Vol. 21 (2020), No. 1, pp. 229-240