O‘zbekiston matematika jurnali Том 70 № 2 (2026) · с. 151-158

On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations

Mahdi, H.S., Rasouli, S.H., Mohammadzadeh, B.

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Аннотация

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.

Nonlinear contractionb-metric spacesFixed point results

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APA 7 
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.
GOST R 7.0.5 
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. Т. 70. № 2. С. 151-158.
BibTeX 
@article{h.s.2026,
  author  = {Mahdi, H.S. and Rasouli, S.H. and Mohammadzadeh, B.},
  title   = {On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {2},
  pages   = {151-158}
}
RIS 
TY  - JOUR
AU  - Mahdi, H.S.
AU  - Rasouli, S.H.
AU  - Mohammadzadeh, B.
TI  - On fixed point results in a new type of nonlinear contraction in $\mathfrak{b}$-metric spaces with applications to differential equations
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 2
SP  - 151
EP  - 158
ER  -