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系统科学与数学 1999
UNIQUENESS AND EXISTENCE OF FIXED POINTS ON SOME MIXED MONOTONE MAPPINGS IN ORDERED LINEAR SPACES
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Abstract:
In this paper, we study the uniqueness and existence of fixed points for a class of mixed monotone mappings in the partially ordered linear space. The iterative methods are also discussed. Nor the continuity or the compactness of mappings is assumed. The corollary improves some well--known results of increasing or decreasing operators. The obtained results are then applied to the singular boundary problems in ordinary differential equations.