Fixed point results for generalized $(\alpha,\psi,\varphi)$-Geraghty contraction in b-metric spaces

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023
Pages:
965 to 977
https://www.magiran.com/p2563217