巴拿赫代数上锥度量空间中集值(a, p)-弱收缩的不动点定理

Advances and Applications in Mathematical Sciences Pub Date : 2019-07-01 DOI:10.37516/adv.math.sci.2019.0067

S. K. Malhotra, Sarita Prakash, S. Shukla

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引用次数: 0

摘要

本文的目的是在Banach代数上引入锥度量空间中的集值(rgr，𝑝)-弱收缩的概念，并证明了这种映射的不动点定理。本文的不动点结果推广和推广了圆锥度量空间上的几个已知不动点结果。最后给出了一个例子来支持我们的结果。

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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SOME FIXED POINT THEOREMS FOR SET-VALUED (a, p)-WEAK CONTRACTIONS IN CONE METRIC SPACES OVER BANACH ALGEBRA

The purpose of this paper is to introduce the notion of set-valued (𝛼, 𝑝)- weak contractions in cone metric spaces over Banach algebra and to prove some fixed point theorems for such mappings. The fixed point results of this paper generalize and extend several known fixed point results on cone metric spaces. An example in support of our results is given.

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来源期刊

Advances and Applications in Mathematical Sciences MATHEMATICS-

CiteScore

0.50

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0.00%

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