Fixed points of increasing operators in ordered Banach spaces and applications
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 38 (1-2) , 1-20
- https://doi.org/10.1080/00036819008839957
Abstract
In this paper, we prove some fixed point theorems of increasing operators which map an order interval into itself. Compactness conditions on the operator are removed by assuming the space to be weakly complete or assuming the operator to have some concavity or convexity properties. some results of M. A. Krasnoselskii and H. Amann are generalized. The abstract results are used to get some existence theorems for ODEs in Banach spaces.Keywords
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