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On the fixed point index in locally convex spaces

Published online by Cambridge University Press:  14 November 2011

M. Furi  and
M. P. Pera
M. Furi
Affiliation:
Istituto di Matematica Applicata “G. Sansone”, Via S. Marta 3, 50139 Firenze, Italy
M. P. Pera
Affiliation:
Istituto di Matematica Applicata “G. Sansone”, Via S. Marta 3, 50139 Firenze, Italy
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Synopsis

Let E be a Hausdorff locally convex space, Q a convex closed subset of E and U an open subset of Q. We develop an index theory for a class of locally compact maps f: U → E for which the usual assumption f(U) ⊂ Q is replaced by an appropriate “pushing condition”. Moreover, from this index theory, we deduce a general continuation principle and some global results for nonlinear eigenvalue problems.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 1-2 , 1987 , pp. 161 - 168
Copyright
Copyright © Royal Society of Edinburgh 1987

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