New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces

Autor: Nassar Aiman Majid, Alaa. M. F. AL. Jumaili, Zhen Chuan Ng, See Keong Lee
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of Function Spaces, Vol 2024 (2024)
Druh dokumentu: article
ISSN: 2314-8888
DOI: 10.1155/2024/5532624
Popis: The first objective of the present manuscript is to introduce the notion of complex-valued Dc∗-metric spaces as generalizing and improving the idea of D∗-metric spaces by using the context of complex-valued metric space and D∗-metric spaces. The principle of contraction mappings has recently been established. Furthermore, the second objective is devoted to establishing various new fixed-point theorems in complete complex-valued Dc∗-metric spaces that are improved and generalized by Azam et al. Banach’s contraction principle and various distinguished outcomes are also presented in the literatures. Additionally, some implementations of common fixed-point theory on complete complex-valued Dc∗-metric spaces have been offered by applying open and closed balls. Additionally, we provide some illustrative examples as an implementation for our main results.
Databáze: Directory of Open Access Journals
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