Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (3): 341-349.

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FIXED POINTS OF INCREASING OPERATORS IN ORDERED SPACE WITH APPLICATIONS

YANG Guang-chong   

  1. Department of Basic Computation Science, Chengdu University of Information Technology, Chengdu 610041, P. R. China
  • Received:2001-01-20 Revised:2001-08-20 Online:2002-03-18 Published:2002-03-18

Abstract: The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity.

2010 MSC Number: 

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