Symmetric duality for mathematical programming in complex spaces with F-convexity

✍ Scribed by Shashi K. Mishra; Norma G. Rueda

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 132 KB
• Volume: 284
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1016/s0022-247x(03)00341-x

✦ Synopsis

Under F -convexity, F -concavity/F -pseudoconvexity, F -pseudoconcavity, appropriate duality results for a pair of Wolfe and Mond-Weir type symmetric dual nonlinear programming problems in complex spaces are established. These results are then used to develop second order F -convexity, F -concavity, second order F -pseudoconvexity, F -pseudoconcavity, and appropriate second order symmetric dual nonlinear programming problems in complex spaces.