SECOND-ORDER OPTIMALITY CONDITIONS FOR PROBLEMS WITH C~(1,1) DATA

摘要

The generalized second -order derivative and the second - order subdifferential have been presented to C~(1,1) functional, i. e. to functional whose derivative, mapping is locally Lipschitz. In this paper, a second -order Taylor expansion of a C~(1,1) functional is derived. This allows us to get second - order optimality conditions for nonlinearly constrained mathematical programming problems with C~(1,1) data.