上半连续集值函数的区间迭代

Abstract

Abstract:

In this paper we study a class of upper semi-continuous multifunctions with a unique set-valued point on compact interval. By classifying the monotonicity on each subinterval, we give a completed relation between the coordinate of the set-valued points and their n-th iteration. Moreover, our method is available for the upper semi-continuous multifunctions with finitely many set-valued points, as well as those ones defined on the whole real line.

Key words: Iteration, Multifunction, Upper semi-continuous, Set-valued point, Monotonicity

CLC Number:

O171

Zhang Pingping, Li Lin. Iteration of Upper Semi-Continuous Multifunctions on Interval[J].Acta mathematica scientia,Series A, 2016, 36(2): 231-243.

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References

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Iteration of Upper Semi-Continuous Multifunctions on Interval

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