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-inve...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.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No10871226)
文摘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.
