Kannan-type cyclic contraction results in 2-Menger space

Title:

Kannan-type cyclic contraction results in 2-Menger space

Creator:

Choudhury, Binayak S. and Bhandari, Samir Kumar

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7643fc02-7f90-4c87-ae51-01770db6a60f
uuid:7643fc02-7f90-4c87-ae51-01770db6a60f
doi:10.21136/MB.2016.3

Subject:

2-Menger space, Cauchy sequence, fixed point, ϕ-function, ψ-function, and cyclic contraction

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 arguments than the first theorem. A control function is used in our second theorem. These results generalize some existing results in probabilistic 2-metric spaces. Our results are illustrated with an example.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

37-58

Source:

Mathematica bohemica | 2016 Volume:141 | Number:1

Harvested from:

CDK

Metadata only:

false