Common fixed point theorem in probabilistic metric space
Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 463
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The notion of weakly compatible maps introduced by Singh and Jain [A fixed point theorem in Menger space through weak compatibility, J. Math. Anal. Appl. {\bf 301} (2) (2005), 439-448] in Menger spaces. In this paper, we prove a common fixed point theorem for weakly compatible maps in Menger space without appeal to continuity.
Classification :
47H10 54H25
Keywords: Triangle function (t-norm), probabilistic metric spaces, compatible maps, weakly compatible maps, fixed point theorem
Keywords: Triangle function (t-norm), probabilistic metric spaces, compatible maps, weakly compatible maps, fixed point theorem
@article{KJM_2011_35_3_a9,
author = {B. D. Pant and Sunny Chauhan and Qamar Alam},
title = {Common fixed point theorem in probabilistic metric space},
journal = {Kragujevac Journal of Mathematics},
pages = {463 },
year = {2011},
volume = {35},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a9/}
}
B. D. Pant; Sunny Chauhan; Qamar Alam. Common fixed point theorem in probabilistic metric space. Kragujevac Journal of Mathematics, Tome 35 (2011) no. 3, p. 463 . http://geodesic.mathdoc.fr/item/KJM_2011_35_3_a9/