Second-order duality for the variational problems

✍ Scribed by Xiuhong Chen

• Book ID: 104151130
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 176 KB
• Volume: 286
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1016/s0022-247x(03)00481-5

✦ Synopsis

A dual problem associated with a class of variational problems is formulated that involves second derivatives of the functions. Under the invexity assumptions on the functions that compose the primal problems, second-order duality results (weak duality, strong duality and converse duality) are derived for this pair of problems.