%0 Journal Article
%T Some fixed point results in Menger spaces using a control function
%A P.N. Dutta
%A Binayak S. Choudhury
%A Krishnapada Das
%J Surveys in Mathematics and its Applications
%D 2009
%I University Constantin Brancusi of Targu-Jiu
%X 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 Sinica, 24(8) (2008), 1379-1386] in probabilistic metric spaces. An example has also been constructed.
%K Menger space
%K p-convergence
%K ¦µ-function
%K fixed point
%U http://www.utgjiu.ro/math/sma/v04/p03.pdf