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

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.  2003 Elsevier Inc. All rights reserved.