Fixed Point Theorems in Bicomplex Partial S Metric Spaces and Applications to Boundary Value Problems

被引：0
|
作者：
Madhuri, M. [1 ]
Kameswari, M.V.R. [2 ]
机构：
[1] Department of Mathematics, School of Science, GITAM Deemed to be University, Andhra Pradesh, Visakhapatnam,530045, India
[2] Department of Mathematics, School of Science, GITAM Deemed to be University, Rushikonda, Andhra Pradesh, Visakhapatnam,530045, India
来源：
IAENG International Journal of Applied Mathematics | 2024年 / 54卷 / 12期
关键词：
Boundary value problems - Choquet integral - Hilbert spaces - Vector spaces;
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摘要：
In this article, we extend the concept of bicomplex partial metric space to bicomplex partial S metric spaces and apply this extension to determine fixed points for generalized contractions. Our findings extend and enhance existing results in this field. To illustrate the significance and applicability of our main result, we present several examples. Furthermore, our results are employed to explore the existence of solutions for two-point boundary value problems. © (2024), (International Association of Engineers). All Rights Reserved.
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页码：2824 / 2831
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