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Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations

Mohamed JleliBessem SametVesna ĆOjbašić RajićCalogero Vetro

subject

Applied MathematicsMathematical analysisFixed-point theoremFixed-point propertyNonlinear systemMetric spaceSettore MAT/05 - Analisi MatematicaModeling and SimulationGeometry and TopologyBoundary value problemUniquenessOrdered metric space fixed point coupled fixed point boundary value problem elastic beam equation.Partially ordered setCoincidence pointMathematics

description

In this paper, we establish certain fixed point theorems in metric spaces with a partial ordering. Presented theorems extend and generalize several existing results in the literature. As application, we use the fixed point theorems obtained in this paper to study existence and uniqueness of solutions for fourth-order two-point boundary value problems for elastic beam equations.

yearjournalcountryeditionlanguage
2012-08-14
10.1007/s11784-012-0081-4http://hdl.handle.net/10447/71015