Fixed point theorems of enriched Ciric's type and enriched Hardy-Rogers contractions

IF 1.1 Q2 MATHEMATICS, APPLIED

Numerical Algebra Control and Optimization Pub Date : 2023-01-01 DOI:10.3934/naco.2023022

None Anjali, Renu Chugh, Charu Batra

引用次数: 0

Abstract

In this paper, we introduce enriched Ciric's type and enriched Hardy-Rogers contractions and prove fixed point theorems in Banach and convex metric spaces. We prove that Ciric's type and Hardy-Rogers contractions are unsaturated classes of mappings. We also study that Reich and Bianchini contractions are unsaturated classes of mappings. Additionally, we give some illustrations to demonstrate the effectiveness of our theoretical results.

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富Ciric型和富Hardy-Rogers型的不动点定理

本文引入了富Ciric型和富Hardy-Rogers压缩，证明了Banach和凸度量空间中的不动点定理。证明了Ciric的类型和Hardy-Rogers的收缩是映射的不饱和类。我们还研究了Reich和Bianchini收缩是映射的不饱和类。此外，我们还给出了一些实例来证明我们的理论结果的有效性。

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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来源期刊

Numerical Algebra Control and Optimization MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

期刊介绍： Numerical Algebra, Control and Optimization (NACO) aims at publishing original papers on any non-trivial interplay between control and optimization, and numerical techniques for their underlying linear and nonlinear algebraic systems. Topics of interest to NACO include the following: original research in theory, algorithms and applications of optimization; numerical methods for linear and nonlinear algebraic systems arising in modelling, control and optimisation; and original theoretical and applied research and development in the control of systems including all facets of control theory and its applications. In the application areas, special interests are on artificial intelligence and data sciences. The journal also welcomes expository submissions on subjects of current relevance to readers of the journal. The publication of papers in NACO is free of charge.