Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces

doi:10.13438/j.cnki.jdzk.2021.02.004

Journal of Jishou University(Natural Sciences Edition) ›› 2021, Vol. 42 ›› Issue (2): 20-25.DOI: 10.13438/j.cnki.jdzk.2021.02.004

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Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces

PENG Rong，CHAI Fujie

(1. School of Data Science and Computer Science, Guangdong Peizheng University, Guangzhou 510830, China; 2. School of Financial Mathematics and Statistics, Guangdong University of Finance, Guangzhou 510521, China)

Online:2021-03-25 Published:2021-08-29

Abstract

Abstract: In this paper, common fixed point problem of four generalized contractive mappings in a complete cone b-metric spaces is studied. A monotonic iterative sequence is constructed and existence and uniqueness theorems of several common fixed points are proved with the iterative method and the compatibility of mappings, which generalizes relative results in cone metric spaces and b-metric spaces.

Key words: cone b-metric space, common fixed point, contractive mapping, compatible mapping

PENG Rong, CHAI Fujie. Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces[J]. Journal of Jishou University(Natural Sciences Edition), 2021, 42(2): 20-25.

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Fixed Point Theorems of Compatible Mappings in Cone b-Metric Spaces

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