Skip to main content
Log in

Fixed point theorems for nonlinear semicontractive mappings in banach spaces

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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.

Bibliography

  1. Beurling, A., & A.E. Livingston, A theorem on duality mappings in Banach spaces. Arkiv Mat. 4, 405–411 (1962).

    Google Scholar 

  2. Brodski, M.S., & D.P. Milman, On the center of a convex set. Dokladi Akad. Nauk SSSR (N. S.) 59, 837–840 (1948).

    Google Scholar 

  3. Browder, F.E., Nonlinear elliptic boundary value problems. Bull. Amer. Math. Soc. 29, 862–874 (1963).

    Google Scholar 

  4. Browder, F.E., On a theorem of Beurling and Livingston. Canadian Jour. Math. 17, 367–372 (1965).

    Google Scholar 

  5. Browder, F.E., Multivalued monotone nonlinear mappings and duality mappings in Banach spaces. Transact. Amer. Math. Soc. 118, 338–351 (1965).

    Google Scholar 

  6. Browder, F.E., Existence and uniqueness theorems for solutions of nonlinear boundary value problems. Proceedings Amer. Math. Soc. Symposium on Applied Math. 17, 24–49 (1965).

    Google Scholar 

  7. Browder, F.E., Existence of periodic solutions for nonlinear equations of evolution. Proc. Nat. Acad. Sci. 53, 1100–1103 (1965).

    Google Scholar 

  8. Browder, F.E., Fixed point theorems for non-compact mappings in Hilbert space. Proc. Nat. Acad. Sci. 53, 1272–1276 (1965).

    Google Scholar 

  9. Browder, F.E., Mapping theorems for noncompact nonlinear operators in Banach spaces. Proc. Nat. Acad. Sci. 54, 337–342 (1965).

    Google Scholar 

  10. Browder, F.E., Nonexpansive nonlinear operators in a Banach space. Proc. Nat. Acad. Sci. 54, 1041–1044 (1965).

    Google Scholar 

  11. Marr, R. de, Common fixed points for commuting contraction mappings. Pacific Jour. Math. 13, 1139–1141 (1963).

    Google Scholar 

  12. Edelstein, M., On fixed and periodic points under contractive mappings. Jour. London Math. Soc. 37, 74–79 (1962).

    Google Scholar 

  13. Edelstein, M., On nonexpansive mappings of Banach spaces. Proc. Cambridge Phil. Soc. 60, 439–447 (1964).

    Google Scholar 

  14. Kirk, W.A., A fixed point theorem for mappings which do not increase distance (to appear).

  15. Lumer, G., & R.S. Phillips, Dissipative operators in Banach spaces. Pacific Jour. Math. 11, 679–698 (1961).

    Google Scholar 

  16. Minty, G.J., On a “monotonicity” method for the solution of nonlinear equations in Banach spaces. Proc. Nat. Acad. Sci. 50, 1038–1041 (1963).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by G. Fichera

Rights and permissions

Reprints and permissions

About this article

Cite this article

Browder, F.E. Fixed point theorems for nonlinear semicontractive mappings in banach spaces. Arch. Rational Mech. Anal. 21, 259–269 (1966). https://doi.org/10.1007/BF00282247

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00282247

Keywords

Navigation