Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam

DOI10.1155/2019/1315387zbMath1453.05127OpenAlexW2948422285WikidataQ127702954 ScholiaQ127702954MaRDI QIDQ2296443

Deepak Singh, Adrian Petruşel, Mudasir Younis

Publication date: 18 February 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/1315387

Mathematics Subject Classification ID

Applications of graph theory (05C90) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fixed-point and coincidence theorems (topological aspects) (54H25) Forced motions in linear vibration theory (70J35)

Related Items (19)

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 ⋮ Kannan nonexpansive mappings on Nakano sequence space of soft reals with some 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 ⋮ 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 ⋮ Nonzero solutions for nonlinear systems of fourth-order boundary value problems ⋮ Computation and convergence of fixed points in graphical spaces with an application to elastic beam deformations ⋮ 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 ⋮ On some common fixed point results for weakly contraction mappings with application ⋮ Unnamed Item ⋮ On some fixed point theorems for multivalued \(F\)-contractions in partial metric spaces ⋮ Unnamed Item ⋮ 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 ⋮ Graphical structure of double controlled metric-like spaces with an application ⋮ 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
• Unnamed Item
• Unnamed Item
• Existence and uniqueness theorems for fourth-order boundary value problems
• Completeness and fixed-points
• Fixed point theorems for Kannan type mappings
• Nonlinear dynamics, fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations
• Fixed point results for multivalued contractions on a metric space with a graph
• Graphic contraction mappings via graphical \(b\)-metric spaces with applications
• A Kannan-type fixed point theorem for multivalued mappings with application
• Fixed point theorems via generalized \(F\)-contractions with applications to functional equations occurring in dynamic programming
• Graphical metric space: a generalized setting in fixed point theory
• A theorem on contraction mappings
• A novel approach of graphical rectangular $b$-metric spaces with an application to the vibrations of a vertical heavy hanging cable
• Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
• An Extension of Banach's Contraction Principle
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Coupled fixed points of monotone mappings in a metric space with a graph
• Fixed points for Kannan type contractions in uniform spaces endowed with a graph
• From graphical metric spaces to fixed point theory in binary related distance spaces
• Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems
• 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: Applications of graph Kannan mappings to the damped spring-mass system and deformation of an elastic beam