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Published online by Cambridge University Press:  10 July 2019

School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia email


We introduce a notion of modulated topological vector spaces, that generalises, among others, Banach and modular function spaces. As applications, we prove some results which extend Kirk’s and Browder’s fixed point theorems. The theory of modulated topological vector spaces provides a very minimalist framework, where powerful fixed point theorems are valid under a bare minimum of assumptions.

Research Article
© 2019 Australian Mathematical Publishing Association Inc.

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