Hongyan Guan, Chen Lang, Yan Hao, Multivariate fixed point and multivariate common fixed point theorems for $(\psi,\varphi)$-weakly contractive mappings with applications, Vol. 2024 (2024), Article ID 4, pp. 1-15

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DOI: 10.23952/jnfa.2024.4

Received September 21, 2023; Accepted January 26, 2024; Published February 27, 2024

Abstract. In this paper, the concepts of multivariate $\star$ -metric functions, multivariate coincidence points, multivariate common fixed points, and multivariate commutable mappings are introduced. In b-metric spaces, we propose multivariate fixed point and multivariate common fixed point theorems for $(\psi,\varphi)$ -weakly contractions. As an application, the solvability of an integral equation is considered.

How to Cite this Article:
H. Guan, C. Lang, Y. Hao, Multivariate fixed point and multivariate common fixed point theorems for $(\psi,\varphi)$ -weakly contractive mappings with applications, J. Nonlinear Funct. Anal. 2024 (2024) 4.