In this paper, first, we introduce $ (\alpha,\psi,\varphi) $-Geraghty and generalized $ (\alpha,\psi,\varphi) $-Geraghty contraction mappings in b-metric spaces and then we prove the existence and uniqueness of fixed point after exploring all the conditions which guarantee the existence of fixed point. Our results extend and generalize related fixed point results in the existing literature. We also provide examples in support of our main findings.
Abduletif, M., Koyas, K. & Teweldemedhin, S. Gebregiorgis. (2023). Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces. International Journal of Nonlinear Analysis and Applications, 14(1), 965–977. https://doi.org/10.22075/ijnaa.2022.25176.2941
MLA
Abduletif, M., Koyas, K., & Teweldemedhin, S. Gebregiorgis. "Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 965–977. doi: 10.22075/ijnaa.2022.25176.2941
HARVARD
Abduletif, M., Koyas, K., & Teweldemedhin, S. Gebregiorgis. (2023). 'Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 965–977. doi: 10.22075/ijnaa.2022.25176.2941
CHICAGO
Abduletif, M., Koyas, K. & Teweldemedhin, S. Gebregiorgis, "Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 965–977, doi: 10.22075/ijnaa.2022.25176.2941
VANCOUVER
Abduletif M., Koyas K., Teweldemedhin S. Gebregiorgis. Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces. IJNAA. 2023;14(1):965–977. doi: 10.22075/ijnaa.2022.25176.2941
International Journal of Nonlinear Analysis and Applications