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Probabilistic G-contractions
Journal article   Open access  Peer reviewed

Probabilistic G-contractions

Tayyab Kamran, Maria Samreen, Naseer Shahzad and Nadia Shahzad
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2013(1), p.223
22/08/2013
DOI: https://doi.org/10.1186/1687-1812-2013-223

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we introduce the notion of probabilistic G-contraction and establish some fixed point theorems in such settings. Our results generalize/extend some recent results of Jachymski and Sehgal and Bharucha-Reid. Consequently, we obtain fixed point results for -chainable PM-spaces and for cyclic operators. MSC: 47H10, 54H25.
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https://doi.org/10.1186/1687-1812-2013-223View
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