AUTHORS: Jiagen Liao, Tingsong Du
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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 the m-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.
KEYWORDS: (B, m)-preinvex functions, m-invex sets, (B, m)-invex sets, (B, m)-preinvex programming, multiobjective programming
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