On stability of fixed points of multivalued maps

Valeri Obukhovskiĭ, Tatiana Starova

DOI: http://dx.doi.org/10.12775/TMNA.2001.009

Abstract


The criterion for the stability of a fixed point of a
compact or condensing multimap in a Banach space with respect to a
small perturbation is expressed in terms of its topological index.

Keywords


Fixed point; multivalued map; condensing multimap; stability; topological degree; topological index

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