WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
On (B;m)-Preinvex Functions and Optimality Conditions for (B;m)-Preinvex Programming
Authors: ,
Abstract: A new class of generalized invex sets and generalized preinvex functions, called m-invex sets and (B;m)-preinvex functions are defined by modulating them-convexity and B-preinvexity. Furthermore, some characterizations of (B;m)-preinvex functions are presented and the sufficient conditions of (B;m)-preinvex programming are established. In addition the nonlinear multi-objective programming with (B;m)-preinvex functions are considered and some relationships between vector critical point and weakly efficient solution for multi-objective programming with (B;m)-preinvexity are researched.