English

Double controlled cone metric spaces and the related fixed point theorems

Functional Analysis 2022-08-16 v1 Metric Geometry

Abstract

In this paper, we introduce double controlled cone metric spaces via two control functions. An example of a double controlled cone metric space by two incomparable functions, which is not a controlled metric space, is given. We also provide some fixed point results involving Banach type and Kannan type contractions in the setting of double controlled cone metric spaces.

Keywords

Cite

@article{arxiv.2208.06812,
  title  = {Double controlled cone metric spaces and the related fixed point theorems},
  author = {T. L. Shateri},
  journal= {arXiv preprint arXiv:2208.06812},
  year   = {2022}
}