f集收缩多映射的不动点理论及其在整包含系统上的应用

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2023-11-25 DOI:10.1007/s13370-023-01146-5

Maha Belhadj, Mohamed Boumaiza

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引用次数: 0

摘要

本文通过考虑一个不一定具有极大值性质的非紧测度，证明了多值映射的Darbo不动点定理的一些推广。此外，我们还证明了多值映射的一些耦合不动点定理。我们的结果概括、证明和扩展了这门学科中众所周知的结果。给出了求解非线性积分包含系统的一个应用。

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 theory for F-set-contraction multimaps and application to a system of integral inclusions

In this paper, we prove some generalizations of Darbo’s fixed point theorem for multivalued mappings by considering a measure of noncompactness which does not necessarily have the maximum property. Moreover, we prove some coupled fixed point theorems for multivalued mappings. Our results generalize, prove and extend well-known results in the subject. An application to solve a nonlinear system of integral inclusions is given.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量