Skip to main content
Log in

Fixed-Point Results on Complete G-Metric Spaces for Mappings Satisfying an Implicit relation of New Type

  • Published:
Ukrainian Mathematical Journal Aims and scope

We prove general fixed-point theorems (generalizing some recent results) in a complete G-metric space.

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

Access this article

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. M. Abbas, T. Nazir, and S. Radanović, “Some periodic point results in generalized metric spaces,” Appl. Math. Comput., 217, 4094–4099 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Chung, T. Kasian, A. Rasie, and B. E. Rhoades, “Property (P) in G-metric spaces,” Fixed Point Theory Appl., Art. ID 401684 (2010), 12 p.

  3. B. C. Dhage, “Generalized metric spaces and mappings with fixed point,” Bull. Calcutta Math. Soc., 84, 329–336 (1992).

    MathSciNet  MATH  Google Scholar 

  4. B. C. Dhage, “Generalized metric spaces and topological structures I,” An. Şti. Univ. Iaşi, Ser. Mat., 46, No. 1, 3–24 (2000).

    MathSciNet  MATH  Google Scholar 

  5. G. S. Jeong, “More maps for which F(T) = F(T n),” Demonstr. Math., 40, No. 3, 671–680 (2007).

    MATH  Google Scholar 

  6. G. S. Jeong and B. E. Rhoades, “Maps for which F(T) = F(T n),” Fixed Point Theory Appl., Nova Sci. Publ., 6 (2007).

  7. Z. Mustafa and B. Sims, “Some remarks concerning D-metric spaces,” Int. Conf. Fixed Point. Theory Appl., 184–198 (2004).

  8. Z. Mustafa and B. Sims, “A new approach to generalized metric spaces,” J. Nonlinear Convex Analysis, 7, 289–297 (2006).

    MathSciNet  Google Scholar 

  9. Z. Mustafa, H. Obiedat, and F. Awawdeh, “Some fixed point theorems for mappings on G-complete metric spaces,” Fixed Point Theory Appl., Article ID 189870 (2008), 10 p.

  10. Z. Mustafa and B. Sims, “Fixed point theorems for contractive mappings in complete G-metric spaces,” Fixed Point Theory Appl., Article ID 917175 (2009), 10 p.

  11. Z. Mustafa and H. Obiedat, “A fixed point theorem of Reich in G-metric spaces,” Cubo A. Math. J., 12, 83–93 (2010).

    Article  MathSciNet  MATH  Google Scholar 

  12. Z. Mustafa, M. Khandagji, and W. Shatanawi, “Fixed point results on complete G-metric spaces,” Stud. Sci. Math. Hung., 48, No. 3, 304–319 (2011).

    MathSciNet  MATH  Google Scholar 

  13. V. Popa, “Fixed point theorems for implicit contractive mappings,” Stud. cerc. St. Ser. Mat. Univ. Bacău, 7, 129–133 (1997).

    Google Scholar 

  14. V. Popa, “Some fixed point theorems for compatible mappings satisfying implicit relations,” Demonstr. Math., 32, 157–163 (1999).

    MATH  Google Scholar 

  15. B. E. Rhoades and M. Abbas, “Maps satisfying contractive conditions of integral type for which F(T) = F(T n),” Int. Pure Appl. Math., 45, No. 2, 225–231 (2008).

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 814–821, June, 2013.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Popa, V., Patriciu, AM. Fixed-Point Results on Complete G-Metric Spaces for Mappings Satisfying an Implicit relation of New Type. Ukr Math J 65, 904–913 (2013). https://doi.org/10.1007/s11253-013-0827-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-013-0827-1

Keywords

Navigation