On weak partial-quasi k-metric spaces

Article type: Research Article

Authors: Wu, Yaoqiang^{; *}

Affiliations: School of Mathematics and Arts, Suqian University, Suqian, P. R. China

Correspondence: [*] Corresponding author. Yaoqiang Wu, School of Mathematics and Arts, Suqian University, Suqian 223800, P. R. China. E-mail: [email protected].

Abstract: In this paper, we introduce the concept of weak partial-quasi k-metrics, which generalizes both k-metric and weak metric. Also, we present some examples to support our results. Furthermore, we obtain some fixed point theorems in weak partial-quasi k-metric spaces.

Keywords: weak metric, k-metric, partial-quasi k-metric, weak partial-quasi k-metric, fixed point theorem

DOI: 10.3233/JIFS-202768

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 11567-11575, 2021