1. Kannan-type cyclic contraction results in 2-Menger space
- Creator:
- Choudhury, Binayak S. and Bhandari, Samir Kumar
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- 2-Menger space, Cauchy sequence, fixed point, ϕ-function, ψ-function, and cyclic contraction
- Language:
- English
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public