We suggest a version of the Browder type asymptotic fixed point theorem for the case of condensing multivalued maps which may be represented as compositions of multimaps with aspheric values. As application, we consider the existence of a quasiperiodic solution for a dissipative type semilinear differential inclusion with impulses in a Banach space.
On The Browder asymptotic fixed point theorem and its application / Valeri Obukhovskii, Marco Spadini, Pietro Zecca. - In: PURE AND APPLIED FUNCTIONAL ANALYSIS. - ISSN 2189-3756. - STAMPA. - 6:(2021), pp. 353-365.
On The Browder asymptotic fixed point theorem and its application
Marco Spadini;Pietro Zecca
2021
Abstract
We suggest a version of the Browder type asymptotic fixed point theorem for the case of condensing multivalued maps which may be represented as compositions of multimaps with aspheric values. As application, we consider the existence of a quasiperiodic solution for a dissipative type semilinear differential inclusion with impulses in a Banach space.
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