Fuzzy cyclic contraction and fixed point theorems

Document Type : Original Article

Authors

1 Department of Applied Mathematics, Shri Vaishnav Institute of Technology & Science, Gram Baroli, Sanwer Road, Indore, MP 453331, India

2 Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor 246701, Uttar Pradesh, India

Abstract

In this paper, we consider some fuzzy cyclic contractions and prove the existence and
uniqueness of fixed points of operators belong to a class consisting fuzzy cyclic operators defined
on a subset of a fuzzy metric space. We also furnish some illustrative examples to support our main
results.

Keywords