A generalized Suzuki Berinde contraction that characterizes Banach spaces
Functional Analysis
2022-09-27 v1
Abstract
We introduce a large class of contractive mappings, called Suzuki Berinde type contraction. We show that any Suzuki Berinde type contraction has a fixed point and characterizes the completeness of the underlying normed space. A fixed point theorem for multivalued mapping is also obtained. These results unify, generalize and complement various known comparable results in the literature.
Cite
@article{arxiv.2209.12554,
title = {A generalized Suzuki Berinde contraction that characterizes Banach spaces},
author = {Mujahid Abbas and Rizwan Anjum and Vladimir Rakočevi\' c},
journal= {arXiv preprint arXiv:2209.12554},
year = {2022}
}