On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application
We introduce the new type of nonself mapping and study sufficient conditions for the existence of past-present-future (for short PPF) dependent fixed point for such mapping in the Razumikhin class. Also, we apply our result to prove the PPF dependent coincidence point theorems. Finally, we use PPF d...
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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/10.1155/2014/342687 |
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| _version_ | 1849410559851626496 |
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| author | Marwan Amin Kutbi Wutiphol Sintunavarat |
| author_facet | Marwan Amin Kutbi Wutiphol Sintunavarat |
| author_sort | Marwan Amin Kutbi |
| collection | DOAJ |
| description | We introduce the new type of nonself mapping and study sufficient conditions for the existence of past-present-future (for short PPF) dependent fixed point for such mapping in the Razumikhin class. Also, we apply our result to prove the PPF dependent coincidence point theorems. Finally, we use PPF dependence techniques to obtain solution for a nonlinear integral problem with delay. |
| format | Article |
| id | doaj-art-7b79aec380f04d00ab79c3105a3d052a |
| 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-7b79aec380f04d00ab79c3105a3d052a2025-08-20T03:35:03ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/342687342687On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and ApplicationMarwan Amin Kutbi0Wutiphol Sintunavarat1Department of Mathematics, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, ThailandWe introduce the new type of nonself mapping and study sufficient conditions for the existence of past-present-future (for short PPF) dependent fixed point for such mapping in the Razumikhin class. Also, we apply our result to prove the PPF dependent coincidence point theorems. Finally, we use PPF dependence techniques to obtain solution for a nonlinear integral problem with delay.http://dx.doi.org/10.1155/2014/342687 |
| spellingShingle | Marwan Amin Kutbi Wutiphol Sintunavarat On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application Abstract and Applied Analysis |
| title | On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application |
| title_full | On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application |
| title_fullStr | On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application |
| title_full_unstemmed | On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application |
| title_short | On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application |
| title_sort | on sufficient conditions for the existence of past present future dependent fixed point in the razumikhin class and application |
| url | http://dx.doi.org/10.1155/2014/342687 |
| work_keys_str_mv | AT marwanaminkutbi onsufficientconditionsfortheexistenceofpastpresentfuturedependentfixedpointintherazumikhinclassandapplication AT wutipholsintunavarat onsufficientconditionsfortheexistenceofpastpresentfuturedependentfixedpointintherazumikhinclassandapplication |