Theorems of Common Fixed Points for Some Mappings in b 2 Metric Spaces

Mengyi Zhang and Chuanxi Zhu ()
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Mengyi Zhang: School of Mathematics and Computer Sciences, Nanchang University, Nanchang 330031, China
Chuanxi Zhu: School of Mathematics and Computer Sciences, Nanchang University, Nanchang 330031, China

Mathematics, 2022, vol. 10, issue 18, 1-19

Abstract: In this research paper, we concentrate on the existence and uniqueness of common fixed points of various mappings in b 2 metric space under generalized ( ϕ , f ) λ -expansive conditions and implicit contractive conditions. Additionally, we derive a progression of noteworthy approaches and ideas extending the conclusions on the real metric space to the b 2 metric space, which advances the investigation of the b 2 metric space will be able to advance.

Keywords: common fixed point; expansive mappings; implicit relation; b 2 metric spaces; generalized contraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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