A class of B-(p,r)-invex functions and mathematical programming

✍ Scribed by Tadeusz Antczak

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 259 KB
• Volume: 286
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1016/s0022-247x(03)00469-4

✦ Synopsis

Invexity of a function is generalized. The new class of nonconvex functions, called B-(p, r)-invex functions with respect to η and b, being introduced, includes many well-known classes of generalized invex functions as its subclasses. Some properties of the introduced class of B-(p, r)-invex functions with respect to η and b are studied. Further, mathematical programming problems involving B-(p, r)invex functions with respect to η and b are considered. The equivalence between saddle points and optima, and different type duality theorems are established for this type of optimization problems.