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Fixed point theorems of random set-valued mappings and their applications

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Abstract

In this paper, first we show several new random fixed point theorems for random set-valued mappings and for a system of random set-valued mappings. Then, some applications of our results are given for the existence and uniqueness of random solution for a system of nonlinear random integral and differential equations. Our theorems improved and generalize many recent findings in [4–7, 9, 11–17].

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Authors and Affiliations

  1. Sichuan Normal College, Chengdu

    Ding Xie-ping

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  1. Ding Xie-ping
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Communicated by Chien Wei-zang.

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Xie-ping, D. Fixed point theorems of random set-valued mappings and their applications. Appl Math Mech 5, 1529–1542 (1984). https://doi.org/10.1007/BF01910444

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  • DOI: https://doi.org/10.1007/BF01910444

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