A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application
In this paper, we introduced the new concept of a graphical presentation approach in C∗-algebra-valued b-metric space (C∗AVbM-space). We studied some new modified contraction conditions for single-valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said spac...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/ijmm/4815080 |
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| author | Faiz Ullah Mohammed M. M. Jaradat Saif Ur Rehman Sidra Akbar |
| author_facet | Faiz Ullah Mohammed M. M. Jaradat Saif Ur Rehman Sidra Akbar |
| author_sort | Faiz Ullah |
| collection | DOAJ |
| description | In this paper, we introduced the new concept of a graphical presentation approach in C∗-algebra-valued b-metric space (C∗AVbM-space). We studied some new modified contraction conditions for single-valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples. Moreover, we constructed tables and graphs with the support of our theoretical results in C∗AVbM‐spaces. In addition, we established an application to the operator of fuzzy differential equations for the existence of a unique solution to uplift the validity of our work. These results can be further extended for different types of single-valued and multivalued mappings to establish more modified FP and common FP results in the context of C∗AVbM‐spaces with different types of differential equations and boundary value problems. |
| format | Article |
| id | doaj-art-a2334de2209b4f5e990be57fb3f4bd79 |
| institution | OA Journals |
| issn | 1687-0425 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a2334de2209b4f5e990be57fb3f4bd792025-08-20T02:08:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/4815080A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an ApplicationFaiz Ullah0Mohammed M. M. Jaradat1Saif Ur Rehman2Sidra Akbar3Institute of Numerical SciencesMathematics ProgramInstitute of Numerical SciencesInstitute of Numerical SciencesIn this paper, we introduced the new concept of a graphical presentation approach in C∗-algebra-valued b-metric space (C∗AVbM-space). We studied some new modified contraction conditions for single-valued mappings in C∗AVbM‐spaces and proved the uniqueness of fixed point (FP) results in the said space with nontrivial illustrative examples. Moreover, we constructed tables and graphs with the support of our theoretical results in C∗AVbM‐spaces. In addition, we established an application to the operator of fuzzy differential equations for the existence of a unique solution to uplift the validity of our work. These results can be further extended for different types of single-valued and multivalued mappings to establish more modified FP and common FP results in the context of C∗AVbM‐spaces with different types of differential equations and boundary value problems.http://dx.doi.org/10.1155/ijmm/4815080 |
| spellingShingle | Faiz Ullah Mohammed M. M. Jaradat Saif Ur Rehman Sidra Akbar A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application International Journal of Mathematics and Mathematical Sciences |
| title | A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application |
| title_full | A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application |
| title_fullStr | A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application |
| title_full_unstemmed | A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application |
| title_short | A New Approach of Graphical Presentation in C∗-Algebra-Valued b-Metric Spaces With an Application |
| title_sort | new approach of graphical presentation in c∗ algebra valued b metric spaces with an application |
| url | http://dx.doi.org/10.1155/ijmm/4815080 |
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