We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Further Fixed Point Results on G-Metric Spaces | SpringerLink
Skip to main content
SpringerLink
Log in

Further Fixed Point Results on G-Metric Spaces

  • Chapter
  • First Online:
Fixed Point Theory in Metric Type Spaces

  • 813 Accesses

Abstract

In this chapter we present some fixed point theorems in the context of G-metric spaces.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  1. Aamri, M., El Moutawakil, D.: Some new common fixed point theorems under strict contractive conditions. J. Math. Anal. Appl. 270, 181–188 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Abbas, M., Rhoades, B.E.: Common fixed point results for noncomuting mappings without continuity in generalized metric spaces. Appl. Math. Comput. 215, 262–269 (2009)

    MathSciNet  MATH  Google Scholar 

  3. Asadi, M., Karapınar, E., Salimi, P.: A new approach to G-metric and related fixed point theorems. J. Ineq. Appl. 2013, 454 (2013)

    Google Scholar 

  4. Banach, S.: Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fundamenta Mathematicae 3, 133–181 (1922)

    MATH  Google Scholar 

  5. Bilgili, N., Karapınar, E.: Cyclic contractions via auxiliary functions on G-metric spaces. Fixed Point Theory Appl. 2013, 49 (2013)

    Google Scholar 

  6. Ćirić, Lj.B., Cakić, N., Rajović, M., Ume, J.S.: Monotone generalized nonlinear contractions in partially ordered metric spaces. Fixed Point Theory Appl. 2008, 11 (2008). Article ID 131294

    Google Scholar 

  7. Ding, H.-S., Karapınar, E.: Meir Keeler type contractions in partially ordered G-metric space. Fixed Point Theory Appl. 2013, 35 (2013)

    Google Scholar 

  8. Jachymski, J.: Equivalent conditions for generalized contractions on (ordered) metric spaces. Nonlinear Anal. 74(3), 768–774 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. Karapınar, E., Yıldız-Ulus, A., Erhan, I.M.: Cyclic contractions on G-metric spaces. Abstr. Appl. Anal. 2012 (2012). Article ID 182947

    Google Scholar 

  10. Mustafa, Z.: A new structure for generalized metric spaces with applications to fixed point theory. Ph.D. thesis, The University of Newcastle, Australia (2005)

    Google Scholar 

  11. Mustafa, Z., Aydi, H., Karapınar, E.: On common fixed points in G-metric spaces using (E.A) property. Comput. Math. Appl. 64(6), 1944–1956 (2012)

    Google Scholar 

  12. Mustafa, Z., Aydi, H., Karapınar, E.: Generalized Meir Keeler type contractions on G-metric spaces. Appl. Math. Comput. 219(21), 10441–10447 (2013)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, Texas, USA

    Ravi P. Agarwal

  2. Department of Mathematics, Atilim University, Incek, Ankara, Turkey

    Erdal Karapınar

  3. National University of Ireland, Galway, Galway, Ireland

    Donal O’Regan

  4. Department of Quantitative Methods for Economics and Business, University of Granada, Granada, Spain

    Antonio Francisco Roldán-López-de-Hierro

Authors
  1. Ravi P. Agarwal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Erdal Karapınar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Donal O’Regan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Antonio Francisco Roldán-López-de-Hierro
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Agarwal, R.P., Karapınar, E., O’Regan, D., Roldán-López-de-Hierro, A.F. (2015). Further Fixed Point Results on G-Metric Spaces. In: Fixed Point Theory in Metric Type Spaces. Springer, Cham. https://doi.org/10.1007/978-3-319-24082-4_6

Download citation

Publish with us

Policies and ethics

Search

Navigation