| Banach空间中的广义E-单调性 |
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| 引用本文： | 张凡龙,范丽亚.Banach空间中的广义E-单调性[J].数学研究及应用,2010,30(5):903-908. |
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| 作者姓名： | 张凡龙 范丽亚 |
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| 作者单位： | 聊城大学数学科学学院, 山东 聊城 252059;聊城大学数学科学学院, 山东 聊城 252059 |
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| 基金项目： | 国家自然科学基金(Grant No.10871226). |
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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.
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| 关 键 词： | Eopreinvexity E-invexity invariant E-monotonicity relations. |
| 收稿时间： | 2008/10/12 0:00:00 |
| 修稿时间： | 1/5/2009 12:00:00 AM |
On Generalized E-Monotonicity in Banach Spaces |
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| Fan Long ZHANG and Li Ya FAN.On Generalized E-Monotonicity in Banach Spaces[J].Journal of Mathematical Research with Applications,2010,30(5):903-908. |
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| Authors: | Fan Long ZHANG and Li Ya FAN |
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| Institution: | School of Mathematics Science,Liaocheng University,Shandong 252059,P.R.China |
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| Abstract: | 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. |
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| Keywords: | $E$-preinvexity $E$-invexity invariant $E$-monotonicity relations |
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