| On Generalized E-Monotonicity in Banach Spaces |
| Received:October 12, 2008 Revised:January 05, 2009 |
| Key Words:
$E$-preinvexity $E$-invexity invariant $E$-monotonicity relations.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.\,10871226). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.05.019 |
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