On Generalized E-Monotonicity in Banach Spaces

摘要

Several new kinds of generalized E-preinvexity and generalized invariant E-monotonicity are introduced in the setting of Banach spaces.The relations between E-preinvexity,E-prequasiinvexity,(pseudo,quasi) E-invexity and invariant(pseudo,quasi) E-monotonicity are studied,which can be viewed as an extension of some known results.