Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space
In this paper, we have established the existence and uniqueness of a common fixed point for occasionally weakly biased mappings of type (A) in an ultrametric space employing an implicit function. Our result accredits us to ameliorate some fixed point theorems specifically Alinejad and Mirmostafaee [...
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| Format: | Article |
| Language: | English |
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Mathyze Publishers
2025-06-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/330 |
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| author | Iqbal H. Jebril Hakima Bouhadjera Anita Tomar Shivangi Upadhyay |
| author_facet | Iqbal H. Jebril Hakima Bouhadjera Anita Tomar Shivangi Upadhyay |
| author_sort | Iqbal H. Jebril |
| collection | DOAJ |
| description | In this paper, we have established the existence and uniqueness of a common fixed point for occasionally weakly biased mappings of type (A) in an ultrametric space employing an implicit function. Our result accredits us to ameliorate some fixed point theorems specifically Alinejad and Mirmostafaee [2]. In the sequel, we have provided a novel explanation to a problem of Rhoades [B. E. Rhoades, Contractive definitions and continuity, Fixed Point Theory and its Applications (Berkeley 1986), Contemp. Math. (Amer. Math. Soc.), 72 (1988), 233-245.] on the question of the existence of contractive mapping having a fixed point at the point of discontinuity in a non-complete ultrametric space via implicit relations. Our theorems and corollaries are improved and enhanced versions of renowned conclusions wherein completeness and continuity have not been utilized. |
| format | Article |
| id | doaj-art-6df9f28d21ed4800a5a00b89744fa5a4 |
| institution | Matheson Library |
| issn | 2832-4293 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj-art-6df9f28d21ed4800a5a00b89744fa5a42025-06-28T13:51:33ZengMathyze PublishersPan-American Journal of Mathematics2832-42932025-06-014010.28919/cpr-pajm/4-1172Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric SpaceIqbal H. Jebril0Hakima Bouhadjera1Anita Tomar2Shivangi Upadhyay3Faculty of Science and Information Technology, Al-Zaytoonah University of Jordan, P.O. Box 130 Amman 11733 JordanLaboratory of Applied Mathematics, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, AlgeriaDepartment of Mathematics, Sri Dev Suman Uttarakhand University, pt. P.L.M.S. Campus, Rishikesh, Uttarakhand, IndiaDepartment of Mathematics, Uttrakhand Open University, Haldwani, Nanital (Uttrakhand), IndiaIn this paper, we have established the existence and uniqueness of a common fixed point for occasionally weakly biased mappings of type (A) in an ultrametric space employing an implicit function. Our result accredits us to ameliorate some fixed point theorems specifically Alinejad and Mirmostafaee [2]. In the sequel, we have provided a novel explanation to a problem of Rhoades [B. E. Rhoades, Contractive definitions and continuity, Fixed Point Theory and its Applications (Berkeley 1986), Contemp. Math. (Amer. Math. Soc.), 72 (1988), 233-245.] on the question of the existence of contractive mapping having a fixed point at the point of discontinuity in a non-complete ultrametric space via implicit relations. Our theorems and corollaries are improved and enhanced versions of renowned conclusions wherein completeness and continuity have not been utilized.https://mathyze.com/index.php/pajm/article/view/330 |
| spellingShingle | Iqbal H. Jebril Hakima Bouhadjera Anita Tomar Shivangi Upadhyay Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space Pan-American Journal of Mathematics |
| title | Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space |
| title_full | Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space |
| title_fullStr | Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space |
| title_full_unstemmed | Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space |
| title_short | Unique Common Fixed Point for Occasionally Weakly Biased Mappings of Type (A) In Ultrametric Space |
| title_sort | unique common fixed point for occasionally weakly biased mappings of type a in ultrametric space |
| url | https://mathyze.com/index.php/pajm/article/view/330 |
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