On a local degree for a class of multi-valued vector fields in infinite dimensional Banach spaces
Benkafadar, N. M. ; Gel’man, B. D.
Abstr. Appl. Anal., Tome 1 (1996) no. 1, p. 381-396 / Harvested from Project Euclid
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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.
Publié le : 1996-05-14
Classification:  Local degree,  nonlinear Fredholm mapping,  multi-valued mapping,  operator inclusion,  homology group,  47H04,  47H11,  47H15 
@article{1049726081,
     author = {Benkafadar, N. M. and Gel'man, B. D.},
     title = {On a local degree for a class of multi-valued vector fields in
infinite dimensional Banach spaces},
     journal = {Abstr. Appl. Anal.},
     volume = {1},
     number = {1},
     year = {1996},
     pages = { 381-396},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049726081}
}

Benkafadar, N. M.; Gel’man, B. D. On a local degree for a class of multi-valued vector fields in
infinite dimensional Banach spaces. Abstr. Appl. Anal., Tome 1 (1996) no. 1, pp.  381-396. http://gdmltest.u-ga.fr/item/1049726081/