Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (4): 705-712.

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kUKK Property in Banach Spaces

Liying Fan1(),Jingjing Song1(),Jianing Zhang2,*()   

  1. 1 Department of Mathematics, Harbin University of Science and Technology, Harbin 150080
    2 Chongqing Institute of Engineering, Chongqing 400056
  • Received:2018-03-22 Online:2019-08-26 Published:2019-09-11
  • Contact: Jianing Zhang;;
  • Supported by:
    the Science and Technology Project of Heilongjiang Provincial Department of Education(12541161)


A new geometric property of Banach space kUKK is given, It is proved that Banach space with this property has weak Banach-saks property, Banach space X is kNUC if and only if it is reflexive and has kUKK property. considering the important role of geometric constants in Banach space geometric properties, The definition of the new constant R2(X) < k is given by the definition of kUKK and proved that when R2(X)< k, the Banach space X has a weak fixed point property. Finally, the specific values are calculated in the Cesaro sequence space.

Key words: kUKK Property, Geometric Constant, Fixed Point Property, Banach Space

CLC Number: 

  • O177