THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE
-
2329
Downloads
-
3503
Views
Authors
MOHAMED JLELI
- Department of Mathematics, Tunis College of Sciences and Techniques, 5 Avenue Taha Hussein, BP, 56, Bab Manara, Tunis..
BESSEM SAMET
- Department of Mathematics, Tunis College of Sciences and Techniques, 5 Avenue Taha Hussein, BP, 56, Bab Manara, Tunis..
Abstract
Recently, Azam, Arshad and Beg introduced the notion of cone
rectangular metric spaces by replacing the triangular inequality of a cone metric
space by a rectangular inequality. In this paper, we extend the Kannan's fixed
point theorem in such spaces.
Share and Cite
ISRP Style
MOHAMED JLELI, BESSEM SAMET, THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE, Journal of Nonlinear Sciences and Applications, 2 (2009), no. 3, 161-167
AMA Style
JLELI MOHAMED, SAMET BESSEM, THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE. J. Nonlinear Sci. Appl. (2009); 2(3):161-167
Chicago/Turabian Style
JLELI , MOHAMED, SAMET, BESSEM. "THE KANNANS FIXED POINT THEOREM IN A CONE RECTANGULAR METRIC SPACE." Journal of Nonlinear Sciences and Applications, 2, no. 3 (2009): 161-167
Keywords
- Cone rectangular metric space
- Kannan's fixed point theorem.
MSC
References
-
[1]
M. Abbas, G. Jungck, Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl, 341 (2008), 416-420.
-
[2]
A. Azam, M. Arshad, I. Beg, Banach contraction principle on cone rectangular metric spaces, Appl. Anal. Discrete Math, (to appear),
-
[3]
A. Branciari , A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math. Debrecen, 57 1-2 (2000), 31-37.
-
[4]
H. Chatterjee , On generalization of Banach Contraction Principle, Indian J. Pure appl. Math, 10 (1979), 400-403.
-
[5]
Lj. B. Ciric, On contraction type mappings, Math. Balkanica, 1 (1971), 52-57.
-
[6]
Lj. B. Ciric, A generalization of Banach's contraction principle, Proc. Am. Math. Soc, 45 (1974), 267-273.
-
[7]
B. K. Dass, S. Gupta, An extension of Banach contraction principle through rational expression, Indian J. Pure appl. Math, 6 (1975), 1455-1458.
-
[8]
L. G. Huang, X. Zhang , Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl, 332 (2007), 1468-1476.
-
[9]
D. Ilic, V. Rakocevic, Common fixed points for maps on cone metric space, J. Math. Anal. Appl, 341 (2008), 876-882.
-
[10]
R. Kannan , Some results on fixed points, Bull. Cal. Math. Soc, (60) 1-2 (1968), 71-76.
-
[11]
R. Kannan, Some results on fixed points-II , Amer. Math. Monthly, 76 (1969), 405-408.
-
[12]
D. Mihet , A counterexample to ''Common fixed point theorem in probabilistic quasi-metric spaces'', J. Nonlinear Sci. Appl. , 1 (2008), 121-122.
-
[13]
A. R. Shabani, S. Ghasempour, Common fixed point theorem in probabilistic quasi- metric spaces, J. Nonlinear Sci. Appl. , 1 (2008), 31-35.