Generalized contraction mapping principle and differential equations in probabilistic metric spaces

Chang, S.; Lee, B.; Cho, Y.; Chen, Y.; Kang, S.; Jung, J.

doi:10.1090/S0002-9939-96-03289-3

Generalized contraction mapping principle and differential equations in probabilistic metric spaces
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by S. S. Chang, B. S. Lee, Y. J. Cho, Y. Q. Chen, S. M. Kang and J. S. Jung PDF

Proc. Amer. Math. Soc. 124 (1996), 2367-2376 Request permission

Abstract:

A new generalized contraction mapping principle in probabilistic metric spaces is obtained. As an application, we utilize this principle to prove the existence theorems of solutions to differential equations in probabilistic metric spaces. All the results presented in this paper are new.

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