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 results, we...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/605405 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561869829701632 |
|---|---|
| author | A. P. Farajzadeh A. Kaewcharoen S. Plubtieng |
| author_facet | A. P. Farajzadeh A. Kaewcharoen S. Plubtieng |
| author_sort | A. P. Farajzadeh |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b74d419781c44d26b3d604f394f9f5f4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b74d419781c44d26b3d604f394f9f5f42025-02-03T01:23:59ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/605405605405An Application of Fixed Point Theory to a Nonlinear Differential EquationA. P. Farajzadeh0A. Kaewcharoen1S. Plubtieng2Department of Mathematics, Razi University, Kermanshah 67149, IranDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandWe 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.http://dx.doi.org/10.1155/2014/605405 |
| spellingShingle | A. P. Farajzadeh A. Kaewcharoen S. Plubtieng An Application of Fixed Point Theory to a Nonlinear Differential Equation Abstract and Applied Analysis |
| title | An Application of Fixed Point Theory to a Nonlinear Differential Equation |
| title_full | An Application of Fixed Point Theory to a Nonlinear Differential Equation |
| title_fullStr | An Application of Fixed Point Theory to a Nonlinear Differential Equation |
| title_full_unstemmed | An Application of Fixed Point Theory to a Nonlinear Differential Equation |
| title_short | An Application of Fixed Point Theory to a Nonlinear Differential Equation |
| title_sort | application of fixed point theory to a nonlinear differential equation |
| url | http://dx.doi.org/10.1155/2014/605405 |
| work_keys_str_mv | AT apfarajzadeh anapplicationoffixedpointtheorytoanonlineardifferentialequation AT akaewcharoen anapplicationoffixedpointtheorytoanonlineardifferentialequation AT splubtieng anapplicationoffixedpointtheorytoanonlineardifferentialequation AT apfarajzadeh applicationoffixedpointtheorytoanonlineardifferentialequation AT akaewcharoen applicationoffixedpointtheorytoanonlineardifferentialequation AT splubtieng applicationoffixedpointtheorytoanonlineardifferentialequation |