Common fixed point theorems of Greguš type \((\phi, \psi)\)-weak contraction for \(R\)-weakly commuting mappings in 2-metric spaces

DOI10.1155/2015/195731zbMath1371.54181OpenAlexW2142835546WikidataQ59114048 ScholiaQ59114048MaRDI QIDQ2405795

Uma Devi Patel, Penumarthy Parvateesam Murthy

Publication date: 26 September 2017

Published in: Journal of Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/195731

zbMATH Keywords

common fixed point theorem\(R\)-weakly commuting maps2-metric spaceset valued mapping\((\phi, \psi)\)-weak contractionGreguš type condition

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• New types of common fixed point theorems in 2-metric spaces
• Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions
• A generalisation of contraction principle in metric spaces
• Fixed point theory for generalized \(\varphi\)-weak contractions
• Fixed point theorems in 2-metric spaces
• On a fixed point theorem of Greguš
• Some theorems on weakly contractive maps.
• Über die Uniformisierbarkeit 2‐metrischer Räume
• 2‐metrische Räume und ihre topologische Struktur
• Common fixed points of set-valued mappings
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