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Applied Mathematics and Mechanics (English Edition) ›› 1984, Vol. 5 ›› Issue (4): 1529-1542.

• 论文 • 上一篇    下一篇

FIXED POINT THEOREMS OF RANDOM SET-VALUED MAPPINGS AND THEIR APPLICATIONS

丁协平   

  1. Sichuan Normal College, Chengdu
  • 收稿日期:1983-06-14 出版日期:1984-07-18 发布日期:1984-07-18

FIXED POINT THEOREMS OF RANDOM SET-VALUED MAPPINGS AND THEIR APPLICATIONS

Ding Xie-ping   

  1. Sichuan Normal College, Chengdu
  • Received:1983-06-14 Online:1984-07-18 Published:1984-07-18

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摘要： 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].

关键词: theory of flexible shell, circular ring shell, Omega-shaped bellows, general solution

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].

Key words: theory of flexible shell, circular ring shell, Omega-shaped bellows, general solution

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