DOI: 10.24193/fpt-ro.2022.2.04

Authors: Jing Chen, Chuanxi Zhu, Chunfang Chen and Li Zhu

Abstract: In this paper, some fixed point results under the Meir-Keeler S type contraction conditions on S-metric spaces and some fixed point theorems with F control functions on S-metric spaces are proved. Moreover, the relationships among G-metric and S-metric are investigated and an example of discontinuity at a fixed point is given.

Key Words and Phrases: G-metric, S-metric, Meir-Keeler contraction, F control function, fixed point.

2010 Mathematics Subject Classification: 47H10, 47H09, 54H25.

Published on-line: June 15th, 2022.

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