Semi Eh-b-preinvexity and its applications to optimization problems

摘要

In this paper, the class of semi Eh-b-preinvex and pseudo Eh-b-preinvex functions are defined as an extension of E-B-preinvex and h-preinvex functions. In this extension the functions E: Rn ->Rn, h: [0,1] ->R, and b: Rn X Rn X [0,1] ->R+ are taken into consideration. Various properties for the new functions as well as some properties and characterizations of quasi semi E-preinvex functions are discussed. Some optimality properties for semi Eh-b-preinvex nonlinear optimization problems are proved.