Skip to main content
SpringerLink
Log in

On relaxing the constant of Chatterjea contraction

  • Original Research Paper
  • Published:
The Journal of Analysis Aims and scope Submit manuscript

Abstract

In this paper, we present some fixed point results for Chatterjea type mappings on metric space. Here, by considering some additional condition we relaxed the contractive constant up to 1.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Altun, I., D. Durmaz, and M. Olgun. 2018. \(P\)-contractive mappings on metric spaces. Journal of Nonlinear Functional Analysis 1: 1–7.

    MathSciNet  Google Scholar 

  2. Aslantaş, M., H. Şahin, and U. Sadullah. 2022. Some generalizations for mixed multivalued mappings. Applied General Topology 23 (1): 169–178.

    Article  MathSciNet  MATH  Google Scholar 

  3. Aslantaş, M., H. Şahin, and D. Türkoğlu. 2021. Some Caristi type fixed point theorems. The Journal of Analysis 29 (1): 89–103.

    Article  MathSciNet  MATH  Google Scholar 

  4. Chatterjea, S.K. 1972. Fixed point theorem. Comptes Rendus de L’Academie Bulgare des Sciences 25: 727–730.

    MathSciNet  MATH  Google Scholar 

  5. Górnicki, J. 2019. Remarks on asymptotic regularity and fixed points. Journal of Fixed Point Theory and Applications 21 (1): 20 (Art. 20).

    Article  MathSciNet  MATH  Google Scholar 

  6. Górnicki, J. 2018. Various extensions of Kannan’s fixed point theorem. Journal of Fixed Point Theory and Applications 20 (1): 12 (Art. 20).

    Article  MathSciNet  MATH  Google Scholar 

  7. Górnicki, J. 2017. Fixed point theorems for Kannan type mappings. Journal of Fixed Point Theory and Applications 19 (3): 2145–2152.

    Article  MathSciNet  MATH  Google Scholar 

  8. Kannan, R. 1968. Some results on fixed points. Bulletin of the Calcutta Mathematical Society 60: 71–76.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Cankiri Karatekin University, Cankiri, Turkey

    Gonca Durmaz Güngör

  2. Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, 71450, Kirikkale, Turkey

    Ishak Altun

Authors
  1. Gonca Durmaz Güngör
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ishak Altun
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ishak Altun.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest

Additional information

Communicated by Samy Ponnusamy.

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Güngör, G.D., Altun, I. On relaxing the constant of Chatterjea contraction. J Anal 31, 179–185 (2023). https://doi.org/10.1007/s41478-022-00450-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s41478-022-00450-w

Keywords

Mathematics Subject Classification

Search

Navigation