New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces
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 es...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5532624 |
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| Summary: | 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. |
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| ISSN: | 2314-8888 |