Common fixed point and coincidence point results for generalized $ \alpha $-$ \varphi_{E} $-Geraghty contraction mappings in $ b $-metric spaces

Autor: Chen Lang, Hongyan Guan
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 8, Pp 14513-14531 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022800?viewType=HTML
Popis: In this paper, we study the existence and uniqueness of common fixed point of $ \alpha_{i, j} $-$ \varphi_{{E}_{M, N}} $-Geraghty contraction mappings and the existence of coincidence point of $ \alpha_{i, j} $-$ \varphi_{E_N} $-Geraghty contraction mapping in the framework of $ b $-metric spaces. We also give two examples to support our results.
Databáze: Directory of Open Access Journals