Fixed point under general contraction conditions in G-metric space

DOI10.1007/s41478-017-0042-9zbMath1379.54036OpenAlexW2687207066MaRDI QIDQ1692686

S. Saravanan, T. Phaneendra

Publication date: 10 January 2018

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-017-0042-9

zbMATH Keywords

fixed point\(G\)-metric space\(G\)-Cauchy sequence\(G\)-complete metric space\(G\)-contractive fixed point

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Remarks on \(G\)-metric spaces and fixed point theorems
• Tripled fixed point results in generalized metric spaces
• Common fixed point results for noncommuting mappings without continuity in generalized metric spaces
• Some fixed point theorem for mapping on complete \(G\)-metric spaces
• Existence of fixed point results in \(G\)-metric spaces
• Some new common fixed point theorems under strict contractive conditions in \(G\)-metric spaces
• Fixed point theory for contractive mappings satisfying \(\Phi \)-maps in G-metric spaces
• Further fixed point results on \(G\)-metric spaces
• A Fixed Point Theorem of Reich in G-Metric Spaces
• A Generalization of Banach's Contraction Principle
• A Common Fixed Point Theorem in G-Metric Spaces
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