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Fixed Points on Unbounded Sets in Semi-Ordered Banach Spaces

HUI Shu-rong1, ZHANG Guo-wei2   

  1. 1. Department of Foundation, Shenyang Agricultural University, Shenyang 110161, China; 2. Department of Mathematics, Northeastern University, Shenyang 110006, China
  • Received:2002-10-15 Revised:1900-01-01 Online:2003-07-26 Published:2003-07-26
  • Contact: HUI Shu-rong

Abstract: In this paper is the concept of a u0 ordered bounded open set introduced. By virtue of the fixed point index for the completely continuous operator on an unbounded set, the fixed point theorem of cone expansion and compression for the completely continuous operator on an unbounded set is proved in semi-ordered Banach spaces.

Key words: ordered Banach space, fixed point, cone expansion and compression

CLC Number: 

  • O177