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arXiv · 2107.03842

On an affinity principle by Krasnoselskii

Pablo Amster·Julián Epstein
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Abstract

An abstract formulation of a duality principle established by Krasnoselskii is presented. Under appropriate conditions, it shall be shown that, if the solutions of a nonlinear functional equation can be obtained by finding fixed points of certain operators in possibly different Banach spaces, then these operators share some topological properties.

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Pablo Amster, Julián Epstein. 2021-07-08. On an affinity principle by Krasnoselskii. https://arxiv.org/abs/2107.03842

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