Necessary optimality conditions for abnormal abstract problems with general constraints

• Author(s): Fernando Lobo Pereira ; Aram Arutyunov
• Date: 2008
• Persistent ID: https://hdl.handle.net/10216/71627
• Origin: Repositório Aberto da Universidade do Porto
• Subject(s): Ciências Tecnológicas, Ciências da engenharia e tecnologias; Technological sciences, Engineering and technology
• Document Type: Book
• Language: English

Description

Here, we derive second-order necessary conditions of optimality for an abstract optimization problem with equality and inequality constraints and constraints in the form of an inclusion into a given closed set. An important feature is that our optimality conditions dispense with any a priori normality assumptions, such as Robinson's constraint qualification, and remain informative even for abnormal points.