An Application of Fixed Point Theory to a Nonlinear Differential Equation

An Application of Fixed Point Theory to a Nonlinear Differential Equation

We introduce a new family of mappings on [ 0 , + ∞ ) by relaxing the nondecreasing condition on the mappings and by using the properties of this new family we present some fixed point theorems for α - ψ -contractive-type mappings in the setting of complete metric spaces. By applying our obtained res...

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Veröffentlicht in:Abstract and Applied Analysis 2014, Vol.2014 (2014), p.766-772-974
Hauptverfasser: Farajzadeh, A. P., Plubtieng, Somyot, Kaewcharoen, A.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Differential equations, Nonlinear
Estimating techniques
Existence theorems
Fixed point theory
Fixed points (mathematics)
Mapping
Mappings (Mathematics)
Mathematical models
Mathematical research
Metric space
Nonlinearity
Ordinary differential equations
Theorems
Theory
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Beschreibung
Zusammenfassung:We introduce a new family of mappings on [ 0 , + ∞ ) by relaxing the nondecreasing condition on the mappings and by using the properties of this new family we present some fixed point theorems for α - ψ -contractive-type mappings in the setting of complete metric spaces. By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/605405