Characterizations and applications of generalized invexity and monotonicity in Asplund spaces

In this paper, the concepts of invexity, monotonicity, and their generalizations in Asplund spaces are studied. Some characterizations for several kinds of generalized invexity and monotonicity concepts are given, using the properties of Mordukhovich limiting subdifferentials in Asplund spaces; and some applications in mathematical programming are provided. Also, some necessary and sufficient weak Pareto‐optimality conditions for a multiple‐objective optimization problem are proved.