Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 369-377.

• Articles • Previous Articles     Next Articles

Generalization of |Phelps' Lemma to Bornological Vector Spaces

 HE Fei1, 2| QIU Jing-Hui1   

  1. 1.School of Mathematical Sciences, Suzhou University, Jiangsu Suzhou 215006|2.School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021
  • Received:2008-12-25 Revised:2009-11-30 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10871141)资助

Abstract:

Phelps' lemma is extended to bornological vector spaces. An immediate application is to re-establish Wong's generalization of Ekeland variational  principle to bornological vector spaces. And Ng and Zheng's result on existence of efficient points in topological vector spaces is easily achieved. Meanwhile, a Phelps' lemma in locally convex spaces is obtained.

Key words: Phelps’lemma, Ekeland variational principle, Existence of efficient points, Bornological vector spaces

CLC Number: 

  • 46A17
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