若干新型循环收缩的不动点定理及其推广

Journal of Nepal Mathematical Society Pub Date : 2021-12-17 DOI:10.3126/jnms.v4i2.41461

D. R. Joshi, P. Tripathi, C. R. Bhatta

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引用次数: 0

摘要

现有文献对巴拿赫收缩原理的推广有不同类型的收缩。本文的目的是推广循环收缩，使它能作为一种特殊情况来解释所有类型的循环收缩。在定义广义循环收缩之前，除了现有文献中所有的循环收缩外，我们还介绍了一些新的循环收缩类型。

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 Theorems on Some New Types of Cyclic Contractions and Their Generalization

There are different types of contraction in the existing literature for the generalization of Banach’s contraction principle. Our aim in this paper is to generalize cyclic contraction so that it can explain all types of cyclic contraction as a particular case. Besides all contractions in the existing literature we introduce some new types of cyclic contraction before defining the generalized cyclic contraction.

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Journal of Nepal Mathematical Society

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