Completeness Problem via Fixed Point Theory

Rizwan Anjum, Mujahid Abbas, Hüseyin Işık*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.

Original languageEnglish
Article number85
JournalComplex Analysis and Operator Theory
Issue number6
Publication statusPublished - Sept 2023
Externally publishedYes


  • Average mapping
  • Fixed point
  • Kannan contractions
  • Ulam–Hyers stability
  • Well-posedness


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