International Journal of Modern Education and Computer Science (IJMECS)
ISSN: 2075-0161 (Print), ISSN: 2075-017X (Online)
Published By: MECS Press
IJMECS Vol.4, No.11, Dec. 2012
A Common Fixed Point Theorem for R-Weakly Commuting Maps Satisfying Property (E.A.) in Fuzzy Metric Spaces Using Implicit Relation
Full Text (PDF, 252KB), PP.44-50
The purpose of this paper is to prove a common fixed theorem for R-weakly commuting mappings via an implicit relation in fuzzy metric space. While proving our result, we utilize the idea of property (E.A.) due to Aamri and El. Moutawakil  together with common (E.A.) property due to Liu, Wu and Li .
Cite This Paper
Saurabh Manro,"A Common Fixed Point Theorem for R-Weakly Commuting Maps Satisfying Property (E.A.) in Fuzzy Metric Spaces Using Implicit Relation", IJMECS, vol.4, no.11, pp.44-50, 2012.
M. Aamri and D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 270 (2002), 181-188.
W. Lui, J. Wu and Z. Li, Common fixed points of single-valued and multivalued maps, Int. J. Math. Math. Sci, 19 (2005), 3045-3055.
G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9 (1986), 771-779.
G. Jungck and B.E. Rhoades, Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math., 29 (1998), 227-238.
J. X. Fang and Y. Gao, Common fixed point theorems under strict contractive conditions in Menger spaces, Nonlinear Analysis, 70 (1) (2009), 184-193.
M. Imdad, M. Tanveer and M. Hasan, Some common fixed point theorems in Menger PM-spaces, Fixed Point Theory and Applications, Volume 2010, Article ID 819269, 14 pages.
S. Kumar and B. Fisher, A common fixed point theorem in fuzzy metric space using property (E. A.) and implicit relation, Thai J. Math., 8 (3) (2010), 439-446.
D. Mihet, Fixed point theorems in fuzzy metric spaces using property E.A., Nonlinear Analysis, 73 (7) (2010), 2184-2188.
S.S. Bhatia, S. Manro and S. Kumar, Fixed point theorem for weakly compatible maps using E.A. Property in Fuzzy metric spaces satisfying contractive condition of Integral type, Int. J. Contemp. Math. Sciences, 5 (51)(2010), 2523 – 2528.
S. Manro, A Common Fixed Point Theorem for Weakly Compatible Maps Satisfying Property (E.A.) in Fuzzy Metric Spaces using Strict Contractive Condition. ARPN Journal of Science and Technology, 2(4) ( 2012), 367-370.
S. Manro, S.S. Bhatia and S. Kumar, Common fixed point theorems in fuzzy metric spaces, Annals of Fuzzy Mathematics and Informatics, 3(1)(2012), 151- 158.
K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. (USA), 28 (1942), 535-537.
I. Kramosil and J. Michalek, Fuzzy metric and statistical spaces, Kybernetica, 11(1975), 336–344.