通过模拟函数修正𝛂-Admissible𝓩-Contraction的一类新的重合和公共不动点定理

IF 0.5 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Mathematical and Fundamental Sciences Pub Date : 2020-04-30 DOI:10.5614/j.math.fund.sci.2020.52.1.3

Sahil Arora, Manoj Kumar, S. Mishra

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引用次数: 1

摘要

本文在模拟函数的帮助下引入了修正α-可容许收缩的概念，并利用这一概念建立了度量空间中的一些重合定理和公共不动点定理。给出了一个能产生主要结果的说明性例子。同时，在度量空间框架内建立了一些已有的结果。应用主要定理推导了α-可容许𝒵-contraction的重合和公共不动点结果。

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A New Type of Coincidence and Common Fixed-Point Theorems for Modified 𝛂-Admissible 𝓩-Contraction Via Simulation Function

In this manuscript, we introduce the concept of modified α-admissible contraction with the help of a simulation function and use this concept to establish some coincidence and common fixed-point theorems in metric space. An illustrative example that yields the main result is given. Also, several existing results within the frame of metric space are established. The main theorem was applied to derive the coincidence and common fixed-point results for α-admissible 𝒵-contraction.

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来源期刊

Journal of Mathematical and Fundamental Sciences MULTIDISCIPLINARY SCIENCES-

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 weeks

期刊介绍： Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, Biology, Health Sciences, Medical Sciences, Pharmacy), Mathematics, Physics, and Statistics. New submissions of mathematics articles starting in January 2020 are required to focus on applied mathematics with real relevance to the field of natural sciences. Authors are invited to submit articles that have not been published previously and are not under consideration elsewhere.