On Generalized E-Monotonicity in Banach Spaces

On Generalized E-Monotonicity in Banach Spaces

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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. 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.

作者 Fan Long ZHANG Li Ya FAN

机构地区 School of Mathematics Science

出处《Journal of Mathematical Research and Exposition》 CSCD 2010年第5期903-908,共6页 数学研究与评论（英文版）

基金 Supported by the National Natural Science Foundation of China (Grant No10871226)

关键词 Eopreinvexity E-invexity invariant E-monotonicity relations. Eopreinvexity E-invexity invariant E-monotonicity relations.

分类号 O174.13 [理学—基础数学]

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Journal of Mathematical Research and Exposition

2010年第5期

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On Generalized E-Monotonicity in Banach Spaces

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