Santina, Dania and Othman, Wan Ainun Mior and Wong, Kok Bin and Mlaiki, Nabil (2023) New generalization of metric-type spaces-strong controlled. Symmetry-Basel, 15 (2). ISSN 2073-8994, DOI https://doi.org/10.3390/sym15020416.
Full text not available from this repository.Abstract
In this manuscript, we establish a new type of metric space that is called controlled strong metric spaces by introducing a controlled function to the triangle inequality as follows: P(s, r) <= P(s, z) + eta (z, r)P(z, r), and keeping the symmetry condition that is P(s, r) = P(r, s) for all r, s. We demonstrate the existence of the fixed point of self-mapping and its uniqueness in such spaces that satisfy linear and nonlinear contractions. Moreover, we provide three applications of results to polynomial equations of high degree, systems of linear equations, along with fractional differential equations.
| Item Type: | Article |
|---|---|
| Funders: | UNSPECIFIED |
| Uncontrolled Keywords: | Strong b-metric space (SbMS); A double-controlled metric type; Fixed-point and strong controlled metric-type space (SCMTS) |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Science Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 04 Nov 2024 04:30 |
| Last Modified: | 04 Nov 2024 04:30 |
| URI: | http://eprints.um.edu.my/id/eprint/38734 |
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