EXISTENCE OF FIXED POINTS AND BEST PROXIMITY POINTS OF p-CYCLIC BOYD-WONG CONTRACTIONS

Q4 Mathematics

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Pub Date : 2021-01-01 DOI:10.56082/annalsarscimath.2022.1-2.111

S. Karpagam

引用次数: 0

Abstract

We introduce a new contraction map called p-cyclic Boyd-Wongcontraction, deﬁned on the union of p (p ≥ 2) non empty subsets of ametric space. We give suﬃcient conditions for the existence of a uniqueﬁxed point, best proximity point or periodic point for the map and aniterative method is used to approximate the ﬁxed point and the bestproximate point.variable exponents where the right-hand side f is in L q(·) , q(·) : Ω → (1, +∞). The functional setting involves anisotropic Sobolev spaces with variable exponents as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents.

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p环BOYD-WONG收缩不动点和最佳邻近点的存在性

我们引入了一个新的压缩映射，称为p-循环Boyd-Wongcontraction，它定义在度量空间的p (p≥2)个非空子集的并集上。给出了该映射存在唯一不动点、最佳邻近点或周期点的充分条件，并利用迭代法逼近了不动点和最佳邻近点。变量指数，右边的f在L q(·)q(·):Ω→(1，+∞)函数设置包括变指数的各向异性Sobolev空间和变指数的弱Lebesgue (Marcinkiewicz)空间。

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

Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Mathematics-Mathematics (all)

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： The journal Mathematics and Its Applications is part of the Annals of the Academy of Romanian Scientists (ARS), in which several series are published. Although the Academy is almost one century old, due to the historical conditions after WW2 in Eastern Europe, it is just starting with 2006 that the Annals are published. The Editor-in-Chief of the Annals is the President of ARS, Prof. Dr. V. Candea and Academician A.E. Sandulescu (†) is his deputy for this domain. Mathematics and Its Applications invites publication of contributed papers, short notes, survey articles and reviews, with a novel and correct content, in any area of mathematics and its applications. Short notes are published with priority on the recommendation of one of the members of the Editorial Board and should be 3-6 pages long. They may not include proofs, but supplementary materials supporting all the statements are required and will be archivated. The authors are encouraged to publish the extended version of the short note, elsewhere. All received articles will be submitted to a blind peer review process. Mathematics and Its Applications has an Open Access policy: all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. No submission or processing fees are required. Targeted topics include : Ordinary and partial differential equations Optimization, optimal control and design Numerical Analysis and scientific computing Algebraic, topological and differential structures Probability and statistics Algebraic and differential geometry Mathematical modelling in mechanics and engineering sciences Mathematical economy and game theory Mathematical physics and applications.