Generalized Invexity And Invariant Monotonicity

In this paper, several kinds of invariant monotone maps and generalized invariant monotone maps are introduced. Some examples are given which show that invariant monotonicity and generalized invariant monotonicity are proper generalizations of monotonicity and generalized monotonicity. Relationships between generalized invarant monotonicity and generalized invexity are established. Our results are generalizations of those presented by Pradhan S.K., and D.K. Dalai.