强 b 超空间和定点原理

IF 0.7 4区数学 Q2 MATHEMATICS

Complex Analysis and Operator Theory Pub Date : 2024-09-04 DOI:10.1007/s11785-024-01594-2

Maher Berzig

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引用次数: 0

摘要

在本文中，我们介绍了强 b 上解析空间，并在其中证明了 Banach 和 Edelstein 的定点原理。此外，我们还证明了埃克兰德的变分原理，并推导出卡利斯蒂定点定理。此外，我们还引入了强 b 上变形线性空间，并在其中建立了布劳威尔和绍德的定点原理。作为应用，我们研究了积分方程和三阶边界值问题的解的存在性。

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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Strong b-Suprametric Spaces and Fixed Point Principles

In this paper, we introduce the strong b-suprametric spaces in which we prove the fixed point principles of Banach and Edelstein. Moreover, we prove a variational principle of Ekeland and deduce a Caristi fixed point theorem. Furthermore, we introduce the strong b-supranormed linear spaces in which we establish the fixed point principles of Brouwer and Schauder. As applications, we study the existence of solutions to an integral equation and to a third-order boundary value problem.

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.