关于富压缩和富非扩张映射的不动点

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-07-30 DOI:10.37193/cjm.2023.01.16

S. Salisu, P. Kumam, Songpon Sriwongsa

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引用次数: 2

摘要

我们应用拟线性化的概念引入了一些丰富的Banach压缩映射类，并分析了这类映射在Hadamard空间中的不动点。我们建立了这类映射不动点的存在性和唯一性。为了逼近不动点，我们使用了一个合适的Krasnoselskij型格式，我们为其建立了$\Delta$和强收敛定理。此外，我们还讨论了Hadamard空间中局部富集收缩和Maia型富集收缩的不动点。此外，我们还建立了富非扩张映射的半闭型性质。最后，我们给出了一些特例和相应的不动点定理。

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On Fixed Points of Enriched Contractions and Enriched Nonexpansive Mappings

We apply the concept of quasilinearization to introduce some enriched classes of Banach contraction mappings and analyse the fixed points of such mappings in the setting of Hadamard spaces. We establish existence and uniqueness of the fixed point of such mappings. To approximate the fixed points, we use an appropriate Krasnoselskij-type scheme for which we establish $\Delta$ and strong convergence theorems. Furthermore, we discuss the fixed points of local enriched contractions and Maia-type enriched contractions in Hadamard spaces setting. In addition, we establish demiclosedness-type property of enriched nonexpansive mappings. Finally, we present some special cases and corresponding fixed point theorems.

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.