Fixed Point Theorems of Random Set-Valued Mappings and Their Applications

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Ding Xie-ping. Fixed Point Theorems of Random Set-Valued Mappings and Their Applications[J]. Applied Mathematics and Mechanics, 1984, 5(4): 561-575.

Citation:

Ding Xie-ping. Fixed Point Theorems of Random Set-Valued Mappings and Their Applications[J]. Applied Mathematics and Mechanics, 1984, 5(4): 561-575.

Citation:

Ding Xie-ping. Fixed Point Theorems of Random Set-Valued Mappings and Their Applications[J]. Applied Mathematics and Mechanics, 1984, 5(4): 561-575.

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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