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SOME FIXED POINT RESULTS IN MENGER SPACES USING A CONTROL FUNCTION.
- Source :
-
Surveys in Mathematics & its Applications . 2009, Vol. 4, p41-52. 12p. - Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PROBABILISTIC number theory
*METRIC spaces
*MATHEMATICAL continuum
*NUMBER theory
Subjects
Details
- Language :
- English
- ISSN :
- 18437265
- Volume :
- 4
- Database :
- Academic Search Index
- Journal :
- Surveys in Mathematics & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 48921858