Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications
In the recent paper (B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces. Using this new concept, they presente...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/869123 |
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| author | Gonca Durmaz Gülhan Mınak Ishak Altun |
| author_facet | Gonca Durmaz Gülhan Mınak Ishak Altun |
| author_sort | Gonca Durmaz |
| collection | DOAJ |
| description | In the recent paper (B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces. Using this new concept, they presented some nice fixed point results. Also, they gave an existence theorem for integral equation to show the usability of their result. Then, many authors focused on this new concept and obtained a lot of fixed point results, which are used for existence theorems. In this paper, we not only extend some of the recent results about this direction but also generalize them. Then, we give some examples to show our results are proper extensions. Furthermore, we use our results to obtain the existence and uniqueness result for a solution of fourth order two-point boundary value problem. |
| format | Article |
| id | doaj-art-230e2889854249d2874f72e3528d3aa3 |
| 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-230e2889854249d2874f72e3528d3aa32025-02-03T01:01:36ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/869123869123Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and ApplicationsGonca Durmaz0Gülhan Mınak1Ishak Altun2Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, TurkeyDepartment of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, TurkeyIn the recent paper (B. Samet, C. Vetro, and P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Analysis. Theory, Methods and Applications, 75 (2012), 2154-2165.), the authors introduced the concept of α-admissible maps on metric spaces. Using this new concept, they presented some nice fixed point results. Also, they gave an existence theorem for integral equation to show the usability of their result. Then, many authors focused on this new concept and obtained a lot of fixed point results, which are used for existence theorems. In this paper, we not only extend some of the recent results about this direction but also generalize them. Then, we give some examples to show our results are proper extensions. Furthermore, we use our results to obtain the existence and uniqueness result for a solution of fourth order two-point boundary value problem.http://dx.doi.org/10.1155/2014/869123 |
| spellingShingle | Gonca Durmaz Gülhan Mınak Ishak Altun Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications Abstract and Applied Analysis |
| title | Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications |
| title_full | Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications |
| title_fullStr | Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications |
| title_full_unstemmed | Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications |
| title_short | Fixed Point Results for α-ψ-Contractive Mappings Including Almost Contractions and Applications |
| title_sort | fixed point results for α ψ contractive mappings including almost contractions and applications |
| url | http://dx.doi.org/10.1155/2014/869123 |
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