Research Article Open Access

Abstract Fixed Points of Set-valued Mappings

E. El. Shobaky, Sahar Mohamed Ali and Montaser S. Ali

Abstract

We defined new concept of complete sequences of equivalence relations on a given abstract set on which no topology is considered, the concept of contraction mappings with respect to these sequences, proved the existence of a fixed point of a multivalued and in particular single valued mappings T on the given abstract set.

Journal of Mathematics and Statistics
Volume 3 No. 2, 2007, 49-53

DOI: https://doi.org/10.3844/jmssp.2007.49.53

Submitted On: 22 October 2006 Published On: 30 June 2007

How to Cite: Shobaky, E. E., Ali, S. M. & Ali, M. S. (2007). Abstract Fixed Points of Set-valued Mappings. Journal of Mathematics and Statistics, 3(2), 49-53. https://doi.org/10.3844/jmssp.2007.49.53

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Keywords

  • Abstract fixed points
  • set-valued mappings
  • topology