New generalization of metric-type spaces-strong controlled
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....
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2023
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my.um.eprints.387342024-11-04T04:30:03Z http://eprints.um.edu.my/38734/ New generalization of metric-type spaces-strong controlled Santina, Dania Othman, Wan Ainun Mior Wong, Kok Bin Mlaiki, Nabil Q Science (General) QA Mathematics 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. MDPI 2023-02 Article PeerReviewed 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 <https://doi.org/10.3390/sym15020416>. 10.3390/sym15020416 |
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Q Science (General) QA Mathematics Santina, Dania Othman, Wan Ainun Mior Wong, Kok Bin Mlaiki, Nabil New generalization of metric-type spaces-strong controlled |
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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. |
| format |
Article |
| author |
Santina, Dania Othman, Wan Ainun Mior Wong, Kok Bin Mlaiki, Nabil |
| author_facet |
Santina, Dania Othman, Wan Ainun Mior Wong, Kok Bin Mlaiki, Nabil |
| author_sort |
Santina, Dania |
| title |
New generalization of metric-type spaces-strong controlled |
| title_short |
New generalization of metric-type spaces-strong controlled |
| title_full |
New generalization of metric-type spaces-strong controlled |
| title_fullStr |
New generalization of metric-type spaces-strong controlled |
| title_full_unstemmed |
New generalization of metric-type spaces-strong controlled |
| title_sort |
new generalization of metric-type spaces-strong controlled |
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MDPI |
| publishDate |
2023 |
| url |
http://eprints.um.edu.my/38734/ |
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1814933221289230336 |
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13.250246 |