Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

الملخص EN

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps.

By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems.

The results obtained improve the corresponding results in the literature.