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

IF 0.9 4区数学 Q2 MATHEMATICS

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

Mohamed Ennassik, L. Maniar, M. Taoudi

引用次数: 7

Abstract

. 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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r-赋范与局部r-凸空间中的不动点定理及其应用

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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来源期刊

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.