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Published
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On some fixed point theorems in abstract duality pairs
Volume 61, no. 2
(2020),
pp. 249–266
https://doi.org/10.33044/revuma.v61n2a04
Abstract
We study the existence of fixed points for some functional problems. We focus
on bilinear operators which are extensions of the product of operators
(Banaś–Dhage-type results) and obtain some results on abstract duality pairs
(abstract triples). However, we do not restrict ourselves to these cases; in
fact, some special cases which do no fit in the above description are
indicated. In particular, our approach allows us to study some differential or
integral problems, for which the operators are not acting on a fixed Banach
space.
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Published by the Unión Matemática Argentina |
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