Israel Journal of Mathematics

, Volume 9, Issue 4, pp 535–540 | Cite as

Construction of a fixed point for contractions in Banach space

  • Shmuel Kaniel


A method for constructing fixed points of contractions in uniformly convex Banach spaces is developed. The fixed point obtained is the limit of one sequence that always converges (provided that a fixed point exists).


Banach Space Fixed Point Theorem Convergent Sequence Convex Banach Space Preceding Argument 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© The Weizmann Science Press of Israel 1971

Authors and Affiliations

  • Shmuel Kaniel
    • 1
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemIsrael

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