Skip to main content
SpringerLink
Log in

Coupled fixed point theorems in cone metric spaces

  • Published:
ANNALI DELL'UNIVERSITA' DI FERRARA Aims and scope Submit manuscript

Abstract

In this paper, by considering two metrics, we obtain some coupled fixed point theorems in cone metric spaces by assuming that the cone has nonempty interior as well as employing a number of contractive-type conditions. Our results generalize and extend some recently announced results in the literature.

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. Beg I., Latif A., Ali R., Azam A.: Coupled fixed point of mixed monotone operators on probabilistic Banach spaces. Archivum Math. 37(1), 1–8 (2001)

    MathSciNet  MATH  Google Scholar 

  2. Bhaskar T.G., Lakshmikantham V.: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. Theory Meth. Appl. 65(7), 1379–1393 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chang S.S., Ma Y.H.: Coupled fixed point of mixed monotone condensing operators and existence theorem of the solution for a class of functional equations arising in dynamic programming. J. Math. Anal. Appl. 160, 468–479 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  4. Ciric L., Lakshmikantham V.: Coupled random fixed point theorems for nonlinear contractions in partially ordered metric spaces. Stochastic Anal. Appl. 27, 1246–1259 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  5. Huang L.G., Zhang X.: Cone metric spaces and fixed point theorems of contractive mappings. J. Math. Anal. Appl. 332(2), 1468–1476 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  6. Lakshmikantham V., Ciric L.: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. Theory Meth. Appl. 70(12), 4341–4349 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  7. Rezapour Sh., Hamlbarani R.H.: Some notes on the paper cone metric spaces and fixed point theorems of contractive mappings. J. Math. Anal. Appl. 345(2), 719–724 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  8. Sabetghadam, F., Masiha, H.P., Sanatpour, A.H.: Some coupled fixed point theorems in cone metric spaces, Fixed point theory and applications, Volume 2009, Article ID 125426, p 8 (2009)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria

    M. O. Olatinwo

Authors
  1. M. O. Olatinwo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. O. Olatinwo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Olatinwo, M.O. Coupled fixed point theorems in cone metric spaces. Ann Univ Ferrara 57, 173–180 (2011). https://doi.org/10.1007/s11565-010-0111-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11565-010-0111-3

Keywords

Mathematics Subject Classification (2000)

Search

Navigation