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Generalized probabilistic metric spaces and fixed point theorems
Journal article   Open access  Peer reviewed

Generalized probabilistic metric spaces and fixed point theorems

Caili Zhou, Shenghua Wang, Ljubomir Ciric and Saud M. Alsulami
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2014(1), pp.1-15
08/04/2014
DOI: https://doi.org/10.1186/1687-1812-2014-91

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce a new concept of probabilistic metric space, which is a generalization of the Menger probabilistic metric space, and we investigate some topological properties of this space and related examples. Also, we prove some fixed point theorems, which are the probabilistic versions of Banach's contraction principle. Finally, we present an example to illustrate the main theorems.
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https://doi.org/10.1186/1687-1812-2014-91View
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