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Keywords = complex-valued bipolar metric space

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19 pages, 293 KB  
Article
Generalization of Fixed-Point Results in Complex-Valued Bipolar Metric Space with Applications
by Amnah Essa Shammaky and Jamshaid Ahmad
Axioms 2024, 13(8), 550; https://doi.org/10.3390/axioms13080550 - 13 Aug 2024
Cited by 3 | Viewed by 1380
Abstract
We undertake this study with the objective of introducing certain control functions in the contractive condition to prove fixed-point theorems in the framework of complex-valued bipolar metric spaces. The incorporation of control functions broadens the applicability of the contractive condition. This approach yields [...] Read more.
We undertake this study with the objective of introducing certain control functions in the contractive condition to prove fixed-point theorems in the framework of complex-valued bipolar metric spaces. The incorporation of control functions broadens the applicability of the contractive condition. This approach yields key results consistent with previous studies. In support of our results, we offer two insightful examples that demonstrate the concepts discussed. Additionally, we present the notion of interpolative contraction in this new and generalized metric space and prove fixed-point theorems for non-self mappings. To demonstrate the application of our approach, we reproduce key findings from several established studies in the field. Full article
(This article belongs to the Special Issue Fixed Point Theory and Its Related Topics IV)
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