On a local degree for a class of multi‐valued vector fields in infinite dimensional Banach spaces

N. M. Benkafadar and B. D. Gel′man

Abstract and Applied Analysis, 1996, vol. 1, issue 4, 381-396

Abstract: This paper is devoted to the development of a local degree for multi‐valued vector fields of the form f − F. Here, f is a single‐valued, proper, nonlinear, Fredholm, C1‐mapping of index zero and F is a multi‐valued upper semicontinuous, admissible, compact mapping with compact images. The mappings f and F are acting from a subset of a Banach space E into another Banach space E1. This local degree is used to investigate the existence of solutions of a certain class of operator inclusions.

Date: 1996
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https://doi.org/10.1155/S1085337596000206

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:1:y:1996:i:4:p:381-396

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