Skip to main content
SpringerLink
Log in

Fixed point theorems for weak compatible multi-valued and single-valued mappings

  • Published:
Acta Mathematica Hungarica Aims and scope Submit manuscript

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

References

  1. K. M. Das and K. V. Naik, Common fixed point theorems for commuting maps on a metric space,Proc. Amer. Math. Soc.,77 (1979), 369–373.

    Google Scholar 

  2. B. Fisher, Common fixed points of four mappings,Bull. Inst. Math. Acad. Sinica,11 (1983), 103–113.

    Google Scholar 

  3. G. Jungck, Commuting mappings and fixed points,Amer. Math. Monthly,83 (19076), 261–263.

    Google Scholar 

  4. G. Jungck, Compatible mappings and common fixed points, Internat. J. Math. & Math. Sci.,9 (1986), 771–779.

    Google Scholar 

  5. G. Jungck, Common fixed points for commuting and compatible maps on compacta,Proc. Amer. Math. Soc.,103 (1988), 977–983.

    Google Scholar 

  6. H. Kaneko, Single-valued and multi-valuedf-contractions,Boll. Un. Mat. Ital.,4-A (1985), 29–33.

    Google Scholar 

  7. H. Kaneko, A common fixed point of weakly commuting multi-valued mappings, submitted.

  8. H. Kaneko and S. Sessa, Fixed point theorem for compatible multi-valued and singlevalued mappings, Internat. J. Math. & Math. Sci.,12 (1989), 257–262.

    Google Scholar 

  9. T. Kubiak, Fixed point theorems for contractive type multi-valued mappings.Math. Japan.,30 (1985), 89–101.

    Google Scholar 

  10. H. K. Pathak, On a fixed point theorem of Jungck, Proceedings of the first world congress ofNonlinear Analysis, (1992), to appear.

  11. H. K. Pathak, On common fixed points of weak compatible mappings in metric and Banach spaces,Nonlinear Functional Analysis and its Applications, special volume (Ed. T. M. Rassias), 1993, to appear.

  12. S. Nadler, Multi-valued contraction mappings,Pacific J. Math.,20 (1969), 475–488.

    Google Scholar 

  13. S. Sessa, On a weak commutativity condition of mappings in fixed point considerations,Publ. Inst. Math. (Beograd),32 (46) (1982), 146–153.

    Google Scholar 

  14. S. L. Singh and S. P. Singh, A fixed point theorem,Indian J. Pure and Appl. Math.,11 (1980), 1584–1586.

    Google Scholar 

  15. R. E. Smithson, Fixed points for contractive multi-functions,Proc. Amer. Math. Soc.,27 (1971), 192–194.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Kalyan Mahavidyalaya, 490006, Bhilai Nagar, M. P., India

    H. K. Pathak

Authors
  1. H. K. Pathak
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to the memory of late professor S. Kasahara

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pathak, H.K. Fixed point theorems for weak compatible multi-valued and single-valued mappings. Acta Math Hung 67, 69–78 (1995). https://doi.org/10.1007/BF01874520

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01874520

Keywords

Search

Navigation