Sufficient optimality criteria for nonlinear programming problems involving semi-differentiable functions

Abstract EN

In this paper, a nonlinear programming problem has been considered, where the function involved are 77- semidifferentiable.

Kaul and Layall were defined 77- convexity, 77-quasiconvexity and 77- pseudoconvexity for semidifferentiable functions.New classes of functions 77,73-convexity, Vfli -quasiconvexity and 77,772-pseudoconvexity are defined on 77, - semidifferentiable.Some properties involving these function are discussed.Sufficient optimality criteria for nonlinear programming problems involving these functions are given.