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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Published in | Applied mathematics and mechanics Vol. 23; no. 3; pp. 341 - 349 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Department of Basic Computation Science, Chengdu University of Information Technology, Chengdu 610041, P R China
01.03.2002
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Subjects | |
Online Access | Get full text |
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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. |
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Bibliography: | 31-1650/O1 O177.91 |
ISSN: | 0253-4827 1573-2754 |
DOI: | 10.1007/bf02438341 |