Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces

WANG Ya-min, SAI Peng-fei

doi:10.13371/j.cnki.chin.q.j.m.2020.01.006

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 1: 63 - 76

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.01.006

Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces

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Huanghe Jiaotong University, Henan, 454000, China

WANG Yarmin(1990-), femal, native of Shangshuixian, Henan, graduate student, engages in nonlinear analysis; SAI Peng-fei(1985-), male, native of Wuzhi, Henan, graduate student, engages in research on model construction.

Received date: 2019-11-09

Online published: 2020-08-06

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Abstract

In this paper, we introduce the notion of generalized cyclic contraction pairs in b₂-metric spaces and establish some fixed point theorems for such pairs. Then，we give an example to illustrate our results.

Key words： b₂-metric space; common fixed point; cyclic contraction mappings; weak transitive

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WANG Ya-min, SAI Peng-fei . Common Fixed Point Theorems for Generalized Cyclic Contraction Pairs in 62-metric Spaces[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(1) : 63 -76 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.01.006

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