New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1092,
author = {R.P. Agarwal and D. O'Regan and D.R. Sahu},
title = {Fixed point theory for multivalued maps in Fr\'echet spaces via degree and index theory},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {27},
year = {2007},
pages = {399-409},
zbl = {1158.47040},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1092}
}
R.P. Agarwal; D. O'Regan; D.R. Sahu. Fixed point theory for multivalued maps in Fréchet spaces via degree and index theory. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 27 (2007) pp. 399-409. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1092/
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