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Random directional contractors and their applications

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Abstract

In this paper, as the generalizations of Altman's directional contractors[4,5] and Lee and Padgett's random contractors[1,2] we introduce the concept of random directional contractors for set-valued random operators. Using the new concept and transfinite induction, we show several existence theorems to solutions of nonlinear set-valued random operator equations. Our theorems improve and generalize the corresponding results in [1,2,4,5,11]. Next, some applications of our results to nonlinear random integral and differential equations are given.

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Authors and Affiliations

  1. Sichian Normal University, Chengdu

    Ding Xie-ping

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

Projects Supported by the Science Fund of the Chinese Academy of Sciences.

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Xie-ping, D. Random directional contractors and their applications. Appl Math Mech 7, 1175–1188 (1986). https://doi.org/10.1007/BF01896980

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  • DOI: https://doi.org/10.1007/BF01896980

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