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

Binayak S. Choudhury and Chaitali Bandyopadhyay

Journal of Mathematics, 2015, vol. 2015, 1-4

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:302012

DOI: 10.1155/2015/302012

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