Second order approximations and dual necessary optimality conditions

Abstract

The concept of second order approximations for nondifferentiable functions is introduced and its properties are studied. Applications to primal as well as second order necessary optimality conditions for some general nonsmooth optimization problems are also given

Keywords:

• First Order Approximation
• Second Order Approximation
• Approximate Subdifferential
• Tangent Cone
• Second Order Tangent Set
• Metric Regularity