Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (2): 327-332.

• Articles • Previous Articles     Next Articles

Normal Structure and the Generalized Modulus of U-convexity in Banach Spaces

 ZUO Zhan-Fei   

  1. Department of Mathematics and Statistics, Chongqing Three Gorges University, Sichuan Wanzhou 404000
  • Received:2011-12-28 Revised:2012-11-23 Online:2013-04-25 Published:2013-04-25
  • Supported by:

    东南大学科研业务费``创新基金"项目和国家自然科学基金(11126329)资助

Abstract:

Some sufficient conditions for which a Banach space X has normal structure in term of the generalized modulus of U-convexity, the
coefficient of weak orthogonality and the coefficient R(1, X) were studied in this paper. Our results extend and improve some recent
results.

Key words: Generalized modulus of U-convexity, Coefficient of weak orthogonality, Normal structure, Fixed point

CLC Number: 

  • 47H10
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