Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

MeiqiangFeng; XuemeiZhang; WeigaoGe

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Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

机译：有序Banach空间上严格集压缩算子的正不动点及其应用。

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The fixed point theorem of cone expansion and compression of norm type for astrict set contraction operator is generalized by replacing the norms with a convex functionalsatisfying certain conditions. We then show how to apply our theorem to prove the existence ofa positive solution to a second-order differential equation with integral boundary conditionsin an ordered Banach space. An example is worked out to demonstrate the main results.

机译：通过用满足某些条件的凸函数代替范数来推广严格集合收缩算子的范数类型的锥扩张和压缩的不动点定理。然后，我们展示了如何应用定理证明有序Banach空间中具有积分边界条件的二阶微分方程正解的存在。举例说明了主要结果。

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《Abstract and applied analysis》 |2010年第3期|共13页
作者
MeiqiangFeng; XuemeiZhang; WeigaoGe;
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中图分类数学分析;
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Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

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