r-赋范与局部r-凸空间中的不动点定理及其应用

Pub Date : 2021-07-01 DOI:10.24193/fpt-ro.2021.2.41

Mohamed Ennassik, L. Maniar, M. Taoudi

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引用次数: 7

摘要

本文证明了r-赋范空间和局部r-凸空间中的一些新的不动点定理。我们的结论推广了许多著名的结果，并对Schauder猜想提供了部分肯定的答案。基于所得结果，我们证明了局部r-凸空间中一个Von Neumann定理的类似性。此外，还介绍了博弈论的一个应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fixed point theorems in r-normed and locally r-convex spaces and applications

. In this paper we prove some new ﬁxed point theorems in r -normed and locally r -convex spaces. Our conclusions generalize many well-known results and provide a partial aﬃrmative answer to Schauder’s conjecture. Based on the obtained results, we prove the analogue of a Von Neumann’s theorem in locally r -convex spaces. In addition, an application to game theory is presented.

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