English

Fixed point results in R-enriched interpolative Kannan pair in R-Convex metric spaces

General Mathematics 2022-11-24 v1

Abstract

The purpose of this paper is to introduce the class of R-enriched interpolative Kannan pair and proved a common fixed point result in the context of R-complete convex metric spaces. Some examples are presented to support the concepts introduced herein. Moreover, we study the well-posedness, limit shadowing property and Ulam-Hyers stability of the mappings introduced herein. Our result extend and generalize several comparable results in the existing literature.

Keywords

Cite

@article{arxiv.2211.12837,
  title  = {Fixed point results in R-enriched interpolative Kannan pair in R-Convex metric spaces},
  author = {Mujahid Abbas and Rizwan Anjum and Shakeela Riasat},
  journal= {arXiv preprint arXiv:2211.12837},
  year   = {2022}
}