Cyclic generalized iterated function systems

IF 0.9 Q3 MATHEMATICS, APPLIED

Computational and Mathematical Methods Pub Date : 2021-10-04 DOI:10.1002/cmm4.1202

Rajan Pasupathi, Arya Kumar Bedabrata Chand, María Antonia Navascués, María Victoria Sebastián

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引用次数: 5

Abstract

In this article, we introduce the notion of cyclic generalized iterated function system (GIFS), which is a family of functions $f_{1}, f_{2}, \dots, f_{M} : X^{k} \to X$ , where each $f_{i}$ is a cyclic generalized $φ$ -contraction (contractive) map on a collection of subsets ${B_{j}}_{j = 1}^{p}$ of a complete metric space $(X, d)$ respectively, and $k, M, p$ are natural numbers. When $B_{j}, j = 1, 2, \dots, p$ are closed subsets of X, we show the existence of attractor of this cyclic GIFS, and investigate its properties. Further, we extend our ideas to cyclic countable GIFS.

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循环广义迭代函数系统

在本文中，我们引入了循环广义迭代函数系统(GIFS)的概念，它是一系列函数f 1, f 2，…，f M:X k→X，其中每个f i是一个循环广义φ -收缩映射在子集{Bj} j = 1 p的完备度量空间(X, d)， k，M p是自然数。当B j, j = 1,2，…，p是X的闭子集时，我们证明了这个循环gif的吸引子的存在性，并研究了它的性质。此外，我们将我们的想法扩展到循环可数gif。

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来源期刊

Computational and Mathematical Methods

CiteScore

2.20

自引率

0.00%

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