Acta mathematica scientia,Series B

• Articles • Previous Articles     Next Articles

A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS

Zhai Chengbo; Guo Chunmei   

  1. Department of Mathematics, Shanxi University, Taiyuan 030006, China
  • Received:2005-02-25 Revised:1900-01-01 Online:2007-04-20 Published:2007-04-20
  • Contact: Zhai Chengbo

Abstract:

In this article, a novel fixed point theorem in C[0,1] space is established by
using the properties of fixed point index. This theorem is then applied to
prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results.

Key words: Fixed point, cone, positive solution, three-point boundary value problem

CLC Number: 

  • 47H10
Trendmd