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Hicks’ contraction principle

  • Olga Hadžić
  • Endre Pap
Chapter
  • 441 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 536)

Abstract

T. Hicks in [128] considered another notion of probabilistic contraction mapping than probabilistic q-contraction, which is incomparable with probabilistic q-contraction, [262]. In section 5.1 two types of generalizations of Hick’s notion of C-contraction is introduced and some fixed point theorems for these new classes of mappings are proved. A multi-valued generalization of the notion of C-contraction is given in section 5.2 and two fixed point theorems for multi-valued mappings are proved, where some results on infinitary operations from section 1.8 are used.

Keywords

Fixed Point Theorem Unique Fixed Point Contraction Principle Banach Contraction Principle Multiplicative Generator 
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

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Olga Hadžić
    • 1
  • Endre Pap
    • 1
  1. 1.Institute of MathematicsUniversity of Novi SadYugoslavia

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