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 |
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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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| _version_ | 1832543048359215104 |
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| author | Nassar Aiman Majid Alaa. M. F. AL. Jumaili Zhen Chuan Ng See Keong Lee |
| author_facet | Nassar Aiman Majid Alaa. M. F. AL. Jumaili Zhen Chuan Ng See Keong Lee |
| author_sort | Nassar Aiman Majid |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d64d6362ba894b2987ad4ba1e588a337 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d64d6362ba894b2987ad4ba1e588a3372025-02-03T11:53:34ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5532624New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric SpacesNassar Aiman Majid0Alaa. M. F. AL. Jumaili1Zhen Chuan Ng2See Keong Lee3School of Mathematical SciencesDepartment of MathematicsSchool of Mathematical SciencesSchool of Mathematical SciencesThe 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.http://dx.doi.org/10.1155/2024/5532624 |
| spellingShingle | Nassar Aiman Majid Alaa. M. F. AL. Jumaili Zhen Chuan Ng See Keong Lee New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces Journal of Function Spaces |
| title | New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces |
| title_full | New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces |
| title_fullStr | New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces |
| title_full_unstemmed | New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces |
| title_short | New Results of Fixed-Point Theorems and Their Applications in Complete Complex Dc∗-Metric Spaces |
| title_sort | new results of fixed point theorems and their applications in complete complex dc∗ metric spaces |
| url | http://dx.doi.org/10.1155/2024/5532624 |
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