Strongly and Semi Strongly E_h-b-Vex Functions: Applications to Optimization Problems
Keywords:E-convex functions, strongly E-convex set, strongly E_h-b-vex sets, strongly E_h-b-vex functions, semi strongly E_h-b-vex functions
In this paper, we propose new types of non-convex functions called strongly --vex functions and semi strongly --vex functions. We study some properties of these proposed functions. As an application of these functions in optimization problems, we discuss some optimality properties of the generalized nonlinear optimization problem for which we use, as an objective function, strongly --vex function and semi strongly --vex function.