New fixed point theorems and application of mixed monotone mappings in partially ordered metric spaces

DOI10.1155/2018/9231508zbMath1491.54109OpenAlexW2902332054WikidataQ128838917 ScholiaQ128838917MaRDI QIDQ1733833

Anmin Mao, Li Liu, Yingying Shi

Publication date: 21 March 2019

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9231508

zbMATH Keywords

existenceuniquenessmixed monotone operatorspartially ordered metric spacemixed monotone mappingaltering distance functioncoupled fixed pointscontractive inequality

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

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• Kirchhoff type problems in \(\mathbb{R}^N\) with radial potentials and locally Lipschitz functional
• Nonexistence and existence of positive solutions for \(2n\)th-order singular superlinear problems with Sturm-Liouville boundary conditions
• Existence and concentration of solutions of Schrödinger-Poisson system
• On a sign-changing solution for some fractional differential equations
• On fixed point theorems of mixed monotone operators
• Fixed point theorems for generalized contractions in partially ordered metric spaces with semi-monotone metric
• Multivalued and singlevalued fixed point results in partially ordered metric spaces
• Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces
• Symmetric positive solutions for \(p\)-Laplacian fourth-order differential equations with integral boundary conditions
• Existence results for nonlinear boundary-value problems with integral boundary conditions in Banach spaces
• Existence and uniqueness of fixed points for some mixed monotone operators
• A generalisation of contraction principle in metric spaces
• Impulsive boundary value problems with integral boundary conditions and one-dimensional \(p\)-Laplacian
• Existence result of second-order differential equations with integral boundary conditions at resonance
• Schrödinger-Poisson systems with radial potentials and discontinuous quasilinear nonlinearity
• Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
• Nontrivial solutions of nonlocal fourth order elliptic equation of Kirchhoff type in \(\mathbb{R}^3\)
• Signed and sign-changing solutions of Kirchhoff type problems
• Some theorems on weakly contractive maps.
• Nontrivial solutions of fourth-order singular boundary value problems with sign-changing nonlinear terms
• Existence and uniqueness of symmetric positive solutions of \(2n\)-order nonlinear singular boundary value problems
• Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph
• Symmetric positive solutions of boundary value problems with integral boundary conditions
• Existence and multiplicity results for Kirchhoff problems
• Existence and uniqueness of smooth positive solutions to a class of singular \(m\)-point boundary value problems
• Positive solutions of singular three-point boundary value problems for second-order differential equations
• Some nonlocal elliptic problem involving positive parameter
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• The Method of Monotone Iterations for Mixed Monotone Operators in Partially Ordered Sets and Order-Attractive Fixed Points
• Fixed point theorems by altering distances between the points
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
• Positive solutions of semi-positone Hammerstein integral equations and applications
• Fixed point theorems in metric spaces

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