超对称空间中哈迪-罗杰斯类型的Ϝ-收缩及其应用

Fixed Point Theory and Applications Pub Date : 2024-07-08 DOI:10.1186/s13663-024-00767-0

Kamaleldin Abodayeh, Syed Khayyam Shah, Muhammad Sarwar, Varaporn Wattanakejorn, Thanin Sitthiwirattham

引用次数: 0

摘要

本文主要研究在超对称空间和有序超对称空间背景下，通过哈代-罗杰斯类型的Ϝ-contraction 得到的一些定点结果。我们还引入了超etric 空间上的有理型 z-contraction 。为了真实起见，我们还列举了一些示例和应用。

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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Ϝ-Contraction of Hardy–Rogers type in supermetric spaces with applications

This article focuses on studying some fixed-point results via Ϝ-contraction of Hardy–Rogers type in the context of supermetric space and ordered supermetric space. We also introduced rational-type z-contraction on supermetric space. For authenticity, some illustrative examples and applications have been included.

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来源期刊

Fixed Point Theory and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： In a wide range of mathematical, computational, economical, modeling and engineering problems, the existence of a solution to a theoretical or real world problem is equivalent to the existence of a fixed point for a suitable map or operator. Fixed points are therefore of paramount importance in many areas of mathematics, sciences and engineering. The theory itself is a beautiful mixture of analysis (pure and applied), topology and geometry. Over the last 60 years or so, the theory of fixed points has been revealed as a very powerful and important tool in the study of nonlinear phenomena. In particular, fixed point techniques have been applied in such diverse fields as biology, chemistry, physics, engineering, game theory and economics. In numerous cases finding the exact solution is not possible; hence it is necessary to develop appropriate algorithms to approximate the requested result. This is strongly related to control and optimization problems arising in the different sciences and in engineering problems. Many situations in the study of nonlinear equations, calculus of variations, partial differential equations, optimal control and inverse problems can be formulated in terms of fixed point problems or optimization.