A COMMON FIXED POINT THEOREM IN MENGER SPACE USING PROPERTY E. A. AND IMPLICIT RELATION
Article Sidebar
Main Article Content
Abstract
In this paper, we obtain some results on fixed points in menger space using property E.A. recently introduced by Amari and Moutawakil [1]. Our results are the Menger version of some fixed point theorems for self mappings on different metric spaces.
Key words: Menger space, property E.A., Common fixed point.
Downloads
Article Details
Open Access: This is an open-access journal. All articles published in the Journal of Global Research in Mathematical Archives(JGRMA) are made immediately and permanently available under the Creative Commons Attribution 4.0 International (CC BY 4.0) License. Authors retain the copyright of their work and grant Journal of Global Research in Mathematical Archives(JGRMA) the right of first publication. This license permits unrestricted use, distribution, adaptation, and reproduction in any medium or format, including commercial use, provided the original author(s), source, and license are properly acknowledged.
Google Scholar Indexed | DOI Enabled | OAI-PMH Compliant | Open Access Journal
References
M. Aamri and D. El Moutawakil, some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 270(2002) 181-188.
G. Jungck, Commuting mappings and fixed point, Amer. Math. Monthly 83(1976), 261-263.
K.Menger, Statistical Metrices, Proc. Nat. Acad. Sci., U.S.A., 28(1942), 535-537.
B.Schweizer and A.Sklar, Probabilistic Metric Spaces, North Holland Series in Probability and Applied Math., 5(1983).
V. M. Sehgal and A. T. Bharucha-Reid, Fixed points of contraction mappings on probabilistic metric spaces, Math. Systems Theory, 6(1972), 97-102.
S. L. Singh and B.D. Pant, Common Fixed point theorems in probabilistic metric spaces and extension to uniform spaces, Honam Math. J. Phy., 6(1984), 1-12.