In this paper, two multi-valued versions of the well-known hybrid fixed point theorem of Dhage [6] in Banach algebras are proved. As an application, an existence theorem for a certain differential inclusion in Banach algebras is also proved under the mixed Lipschitz and compactness type conditions.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1054,
author = {Bapur Chandra Dhage},
title = {Multi-valued operators and fixed point theorems in Banach algebras},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {24},
year = {2004},
pages = {97-122},
zbl = {1078.47004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1054}
}
Bapur Chandra Dhage. Multi-valued operators and fixed point theorems in Banach algebras. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 24 (2004) pp. 97-122. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1054/
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