Revisiting graphical rectangular b-metric spaces

DOI10.1142/S1793557122500723zbMath1487.54077OpenAlexW3174271983MaRDI QIDQ5865972

Deepak Singh, Mudasir Younis, Luo Yi Shi

Publication date: 10 June 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500723

zbMATH Keywords

fixed pointBanach contraction principlegraphical \(b\)-rectangular metric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

\( H^\beta\)-Hausdorff functions and common fixed points of multivalued operators in a \(b\)-metric space and their applications ⋮ Convergence results based on graph-Reich contraction in fuzzy metric spaces with application ⋮ Common fixed point theorems for weakly contractions in rectangular \(b\)-metric spaces with supportive applications ⋮ A STUDY ON THE SOLUTIONS OF NOTABLE ENGINEERING MODELS

Cites Work

• Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam
• A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable
• Graphical structure of extended \(b\)-metric spaces: an application to the transverse oscillations of a homogeneous bar
• Results on contractions of Reich type in graphical b-metric spaces with applications

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