Some fixed point results in Menger spaces using a control function

Some fixed point results in Menger spaces using a control function

Here we prove a probabilistic contraction mapping principle in Menger spaces. This is in line with research in fixed point theory using control functions which was initiated by Khan et al. [Bull. Austral. Math. Soc., 30(1984), 1-9] in metric spaces and extended by Choudhury et al. [Acta Mathematica...

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Bibliographic Details
Main Authors: Krishnapada Das, Binayak S. Choudhury, P.N. Dutta
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2009-03-01
Series:Surveys in Mathematics and its Applications
Subjects:
Menger space
p-convergence
Φ-function
fixed point
Online Access:http://www.utgjiu.ro/math/sma/v04/p03.pdf

Internet

http://www.utgjiu.ro/math/sma/v04/p03.pdf

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