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

DOI10.3934/era.2023245OpenAlexW4383566736WikidataQ123290541 ScholiaQ123290541MaRDI QIDQ6153136

Publication date: 13 February 2024

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2023245

zbMATH Keywords

common fixed point coincidence point nonlinear contraction cone \(b\)-metric space \(\varphi\)-mapping

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

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Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition
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New common fixed point theorems for maps on cone metric spaces
Common fixed point theorems for weakly compatible pairs on cone metric spaces
Common fixed points of noncommuting mappings
Fixed points for set valued functions without continuity
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Fixed point theorems of contractive mappings in cone \(b\)-metric spaces and applications
Fixed point theorems for weakly \(T\)-Chatterjea and weakly \(T\)-Kannan contractions in \(b\)-metric spaces
A common fixed point theorem for three maps in discontinuous \(G_b\)-metric spaces
Common fixed point results for noncommuting mappings without continuity in cone metric spaces
Common Fixed Points for Commuting and Compatible Maps on Compacta
Common fixed point theorems for six self-maps in b -metric spaces with nonlinear contractive conditions
Fixed point and coincidence point theorems in b-metric spaces with applications

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