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Fixed point theorems for random pseudo-contractive mappings
Authors:Claudio H Morales
Institution:
  • Department of Mathematics, University of Alabama in Huntsville, Huntsville, AL 35899, USA
  • Abstract:Very recently in Fierro et al. (2009) 6], we obtained a general principle to prove the existence of Random Fixed Point Theorems. As a consequence of this, we have been able to obtain various generalizations for pseudo-contractive mappings with rather simple proofs. In addition, while we were deriving these extensions for random operators, some deterministic results arose, which also appear to be new.
    Keywords:Set-valued mappings  Pseudo-contractive mappings  Random fixed points
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