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Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions

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  • Binayak S. Choudhury
  • Chaitali Bandyopadhyay

Abstract

We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff distance. The members of the sequence are assumed to be multivalued almost contractions. We show that the fixed point sets of this sequence of mappings are stable.

Suggested Citation

  • Binayak S. Choudhury & Chaitali Bandyopadhyay, 2015. "Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions," Journal of Mathematics, Hindawi, vol. 2015, pages 1-4, October.
    • Handle: RePEc:hin:jjmath:302012
    DOI: 10.1155/2015/302012
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