GENERALIZED CONTRACTION MAPPING PRINCIPLE AND DIFFERENTIAL-EQUATIONS IN PROBABILISTIC METRIC-SPACES

Authors
CHANG SS LEE BS CHO YJ CHEN YQ KANG SM JUNG JS
Citation
Ss. Chang et al., GENERALIZED CONTRACTION MAPPING PRINCIPLE AND DIFFERENTIAL-EQUATIONS IN PROBABILISTIC METRIC-SPACES, Proceedings of the American Mathematical Society, 124(8), 1996, pp. 2367-2376
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
8
Year of publication
1996
Pages
2367 - 2376
Database
ISI
SICI code
0002-9939(1996)124:8<2367:GCMPAD>2.0.ZU;2-6
Abstract
A new generalized contraction mapping principle in probabilistic metri c 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.