We present fixed point theorem for a new type of nonlinear contractive mappings in $\mathfrak{b}$-metric spaces. Also, we present examples to illustrate the validity of the results obtained in the paper. In addition, by using our results, we obtain the existence and uniqueness of solution to some ordinary differential equations with initial value conditions.
| Mualliflar | Mahdi, H.S., Rasouli , S.H., Mohammadzadeh, B. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 151-158 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-18 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-18 · Maqolaning asl sahifasi
Nonlinear contraction, b-metric spaces, Fixed point results
| APA | Mahdi, H.S., Rasouli , S.H., & Mohammadzadeh, B. (2026). On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations. O‘zbekiston matematika jurnali, 70(2), 151-158. https://doi.org/10.29229/uzmj.2026-2-18 |
|---|---|
| GOST (OAK) | Mahdi, H.S., Rasouli , S.H., Mohammadzadeh, B. On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 151-158. – DOI: 10.29229/uzmj.2026-2-18. |
| MLA | Mahdi, H.S., Rasouli , S.H., and Mohammadzadeh, B. “On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations.” O‘zbekiston matematika jurnali, 70(2), 151-158, 2026. https://doi.org/10.29229/uzmj.2026-2-18 |
| Chicago | Mahdi, H.S., Rasouli , S.H., and Mohammadzadeh, B. “On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations.” O‘zbekiston matematika jurnali, 70(2), 151-158 (2026). https://doi.org/10.29229/uzmj.2026-2-18 |
| Harvard | Mahdi, H.S., Rasouli , S.H., and Mohammadzadeh, B (2026) ‘On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations’, O‘zbekiston matematika jurnali, 70(2), 151-158. https://doi.org/10.29229/uzmj.2026-2-18 |
| BibTeX | @article{mahdihs2026,
title = {On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations},
author = {Mahdi, H.S. and Rasouli , S.H. and Mohammadzadeh, B.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {151-158},
doi = {10.29229/uzmj.2026-2-18},
url = {https://doi.org/10.29229/uzmj.2026-2-18}
} |
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