FIXED POINTS OF INCREASING OPERATORS IN ORDERED SPACE WITH APPLICATIONS

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...

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Bibliographic Details
Published inApplied mathematics and mechanics Vol. 23; no. 3; pp. 341 - 349
Main Author YANG Guang-chong(杨光崇)
Format Journal Article
LanguageEnglish
Published Department of Basic Computation Science, Chengdu University of Information Technology, Chengdu 610041, P R China 01.03.2002
Subjects
and
boundary
fixed
increasing
infimum
operator
ordered
point
problem
singular
space
supremum
singular boundary problem
ordered space
increasing operator and fixed point
supremum and infimum
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Summary: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.
Bibliography:31-1650/O1
O177.91
ISSN:0253-4827
1573-2754
DOI:10.1007/bf02438341