Kannan-type cyclic contraction results in $2$-Menger space

Kannan-type cyclic contraction results in $2$-Menger space

In this paper we establish Kannan-type cyclic contraction results in probabilistic 2-metric spaces. We use two different types of $t$-norm in our theorems. In our first theorem we use a Hadzic-type $t$-norm. We use the minimum $t$-norm in our second theorem. We prove our second theorem by different...

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Bibliographic Details
Main Authors: Binayak Samaddar Choudhury, Samir Kumar Bhandari
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-04-01
Series:Mathematica Bohemica
Subjects:
$2$-Menger space
Cauchy sequence
fixed point
$\phi$-function
$\psi$-function
cyclic contraction
Online Access:http://mb.math.cas.cz/full/141/1/mb141_1_3.pdf

Internet

http://mb.math.cas.cz/full/141/1/mb141_1_3.pdf

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