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krasnosel'skii fixed point theorem

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

A generalization of Krasnosel'skii compression fixed point theorem by using star convex sets
Part of
- Nonlinear operators and their properties
- Boundary value problems
Cristina Lois-Prados, Rosana Rodríguez-López
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 150 / Issue 1 / February 2020

Published online by Cambridge University Press:

25 January 2019, pp. 277-303

Print publication:

February 2020
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In the framework of fixed point theory, many generalizations of the classical results due to Krasnosel'skii are known. One of these extensions consists in relaxing the conditions imposed on the mapping, working with k-set contractions instead of continuous and compact maps. The aim of this work if to study in detail some fixed point results of this type, and obtain a certain generalization by using star convex sets.