## Abstract and Applied Analysis

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

#### 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, $C^1$-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 $E_1$. This local degree is used to investigate the existence of solutions of a certain class of operator inclusions.

#### Article information

Source
Abstr. Appl. Anal., Volume 1, Number 4 (1996), 381-396.

Dates
First available in Project Euclid: 7 April 2003

https://projecteuclid.org/euclid.aaa/1049726081

Digital Object Identifier
doi:10.1155/S1085337596000206

Mathematical Reviews number (MathSciNet)
MR1481549

Zentralblatt MATH identifier
0942.47050

Subjects