Common fixed and coincidence point theorems for nonlinear self-mappings in cone $ b $-metric spaces using $ \varphi $-mapping

In this paper, by means of a mapping $ \varphi\in\Phi(P, P_1) $, some new common fixed and coincidence point theorems for four and six nonlinear self-mappings in cone $ b $-metric spaces are established, respectively. Also, some examples are given to prove the effectiveness of our results. And with...

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Bibliographic Details
Published in:Electronic research archive 2023-07, Vol.31 (8), p.4788-4806
Main Authors: Song, Mingliang, Liu, Dan
Format: Article
Language:English
Subjects:
coincidence point
common fixed point
cone $ b $-metric space
nonlinear contraction
varphi $-mapping
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Summary:In this paper, by means of a mapping $ \varphi\in\Phi(P, P_1) $, some new common fixed and coincidence point theorems for four and six nonlinear self-mappings in cone $ b $-metric spaces are established, respectively. Also, some examples are given to prove the effectiveness of our results. And with some remarks stating that our results complement and sharply improve some related results in the literature.
ISSN:2688-1594
2688-1594
DOI:10.3934/era.2023245