New Results and Generalizations for Approximate Fixed Point Property and Their Applications
We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du'...
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| Main Authors: | , |
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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/10.1155/2014/581267 |
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| _version_ | 1832553574002851840 |
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| author | Wei-Shih Du Farshid Khojasteh |
| author_facet | Wei-Shih Du Farshid Khojasteh |
| author_sort | Wei-Shih Du |
| collection | DOAJ |
| description | We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point theorems which
generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given. |
| format | Article |
| id | doaj-art-ce63828a0e2e4303bc61ea738d1da33e |
| 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-ce63828a0e2e4303bc61ea738d1da33e2025-02-03T05:53:46ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/581267581267New Results and Generalizations for Approximate Fixed Point Property and Their ApplicationsWei-Shih Du0Farshid Khojasteh1Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, TaiwanDepartment of Mathematics, Arak Branch, Islamic Azad University, Arak, IranWe first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and α-admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du's fixed point theorem, Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, and Nadler's fixed point theorem and some well-known results in the literature are given.http://dx.doi.org/10.1155/2014/581267 |
| spellingShingle | Wei-Shih Du Farshid Khojasteh New Results and Generalizations for Approximate Fixed Point Property and Their Applications Abstract and Applied Analysis |
| title | New Results and Generalizations for Approximate Fixed Point Property and Their Applications |
| title_full | New Results and Generalizations for Approximate Fixed Point Property and Their Applications |
| title_fullStr | New Results and Generalizations for Approximate Fixed Point Property and Their Applications |
| title_full_unstemmed | New Results and Generalizations for Approximate Fixed Point Property and Their Applications |
| title_short | New Results and Generalizations for Approximate Fixed Point Property and Their Applications |
| title_sort | new results and generalizations for approximate fixed point property and their applications |
| url | http://dx.doi.org/10.1155/2014/581267 |
| work_keys_str_mv | AT weishihdu newresultsandgeneralizationsforapproximatefixedpointpropertyandtheirapplications AT farshidkhojasteh newresultsandgeneralizationsforapproximatefixedpointpropertyandtheirapplications |