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- Title
SOME FIXED POINT RESULTS IN MENGER SPACES USING A CONTROL FUNCTION.
- Authors
Dutta, P. N.; Choudhury, Binayak S.; Das, Krishnapada
- Abstract
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.
- Subjects
MENGER, Carl, 1840-1921; PROBABILISTIC number theory; METRIC spaces; MATHEMATICAL continuum; NUMBER theory
- Publication
Surveys in Mathematics & its Applications, 2009, Vol 4, p41
- ISSN
1843-7265
- Publication type
Article