A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable
From MaRDI portal
Publication:2631677
DOI10.1007/s11784-019-0673-3zbMath1435.54012OpenAlexW2912906971WikidataQ128409732 ScholiaQ128409732MaRDI QIDQ2631677
Deepak Singh, Mudasir Younis, Anil Goyal
Publication date: 15 May 2019
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-019-0673-3
Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fredholm integral equations (45B05) Directed graphs (digraphs), tournaments (05C20)
Related Items (25)
Fixed point results for dominated mappings in rectangular \(b\)-metric spaces with applications ⋮ On the existence of the solution of Hammerstein integral equations and fractional differential equations ⋮ \( H^\beta\)-Hausdorff functions and common fixed points of multivalued operators in a \(b\)-metric space and their applications ⋮ A solution to nonlinear Fredholm integral equations in the context of \(w\)-distances ⋮ Common fixed point results for a pair of multivalued mappings in complex-valued \(b\)-metric spaces ⋮ Fixed point theorems for set-valued \(G\)-contractions in a graphical convex metric space with applications ⋮ A note on the paper ``A novel approach of graphical rectangular \(b\)-metric spaces with an application to the vibrations of a vertical heavy hanging cable ⋮ New fixed point theorems for \(\theta\)-\(\omega\)-contraction on \((\lambda, \mu)\)-generalized metric spaces ⋮ Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations ⋮ A fixed point approach for tuning circuit problem in dislocated b‐metric spaces ⋮ A unique approach to graph-based metric spaces with an application to rocket ascension ⋮ Graphical structure of extended \(b\)-metric spaces: an application to the transverse oscillations of a homogeneous bar ⋮ Generalized Darbo-type \(F\)-contraction and \(F\)-expansion and its applications to a nonlinear fractional-order differential equation ⋮ Unnamed Item ⋮ On some fixed point theorems for multivalued \(F\)-contractions in partial metric spaces ⋮ Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam ⋮ Common fixed point theorems for weakly contractions in rectangular \(b\)-metric spaces with supportive applications ⋮ Fixed point theorems for the Mann's iteration scheme in convex graphical rectangular b-metric spaces ⋮ Unnamed Item ⋮ Computation of solution of integral equations via fixed point results ⋮ Results on contractions of Reich type in graphical b-metric spaces with applications ⋮ Convergence theorems for generalized contractions and applications ⋮ Revisiting graphical rectangular b-metric spaces ⋮ A STUDY ON THE SOLUTIONS OF NOTABLE ENGINEERING MODELS ⋮ Some critical remarks on “Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations”
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On some fixed point results in \(b\)-metric, rectangular and \(b\)-rectangular metric spaces
- A common fixed point theorem of Jungck in rectangular B-metric spaces
- Graphic contraction mappings via graphical \(b\)-metric spaces with applications
- Graphical metric space: a generalized setting in fixed point theory
- A theorem on contraction mappings
- An Extension of Banach's Contraction Principle
- On some new fixed point results in b-rectangular metric spaces
- Pata-type common fixed point results in b-metric and b-rectangular metric spaces
- Rectangular b-metric space and contraction principles
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- New fixed point results in b-rectangular metric spaces
- The contraction principle for mappings on a metric space with a graph
- Some Remarks Concerning Contraction Mappings
- A Generalization of a Fixed Point Theorem of Reich
This page was built for publication: A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable
