Application of fixed point theorems in triple bipolar controlled metric space to solve cantilever beam problem

被引：1
|
作者：
Taleb, Mohammed M. A. [1 ,2 ]
Borkar, V. C. [3 ]
机构：
[1] Swami Ramanand Teerth Marathwada Univ, Sci Coll, Dept Math, Nanded 431606, India
[2] Hodeidah Univ, Dept Math, PO 3114, Al Hodeidah, Yemen
[3] Swami Ramanand Teerth Marathwada Univ, Dept Math, Yeshwant Mahavidyalaya, Nanded 431606, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 533卷 / 01期
关键词：
Fixed point; Triple bipolar controlled metric space; alpha-admissible crooked mapping with respect to theta; Fourth-order differential equation;
D O I：
10.1016/j.jmaa.2023.127998
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce the notion of triple bipolar controlled metric space and prove some new fixed point theorems on this space, reformulate the concept of alpha-admissible mapping with respect to theta in triple bipolar controlled metric space, and introduce the concept of alpha-admissible crooked mapping with respect to theta in triple bipolar controlled metric space. We supported our results with suitable examples. We also present an application of the derived result to prove the existence and uniqueness solution of the cantilever beam problem, which is in fourth-order differential equation form.(c) 2023 Elsevier Inc. All rights reserved.
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页数：19
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