New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions
We introduce new concepts of an αc-GF-contractive nonself-mapping, a weak αc-GF-contractive nonself-mapping, a generalized αc-GF-contractive nonself-mapping, and Suzuki type GF-contractions and establish the existence of PPF dependent fixed point theorems for such kind of contractive nonself-mappin...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/136306 |
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| author | M. A. Kutbi N. Hussain S. Khaleghizadeh |
| author_facet | M. A. Kutbi N. Hussain S. Khaleghizadeh |
| author_sort | M. A. Kutbi |
| collection | DOAJ |
| description | We introduce new concepts of an αc-GF-contractive nonself-mapping, a weak αc-GF-contractive nonself-mapping, a generalized αc-GF-contractive nonself-mapping, and Suzuki type GF-contractions and establish the existence of
PPF dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some PPF dependent fixed point theorems for GF-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some PPF dependent fixed point results in the literature. |
| format | Article |
| id | doaj-art-296a7262304543198b784cdafa046a02 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-296a7262304543198b784cdafa046a022025-02-03T01:10:10ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/136306136306New PPF Dependent Fixed Point Theorems for Suzuki Type GF-ContractionsM. A. Kutbi0N. Hussain1S. Khaleghizadeh2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, IranWe introduce new concepts of an αc-GF-contractive nonself-mapping, a weak αc-GF-contractive nonself-mapping, a generalized αc-GF-contractive nonself-mapping, and Suzuki type GF-contractions and establish the existence of PPF dependent fixed point theorems for such kind of contractive nonself-mappings in the Razumikhin class. As applications of our results, we derive some PPF dependent fixed point theorems for GF-contractive nonself-mappings whenever the range space is endowed with a graph or a partial order. The obtained results generalize, extend, and modify some PPF dependent fixed point results in the literature.http://dx.doi.org/10.1155/2015/136306 |
| spellingShingle | M. A. Kutbi N. Hussain S. Khaleghizadeh New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions Journal of Function Spaces |
| title | New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions |
| title_full | New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions |
| title_fullStr | New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions |
| title_full_unstemmed | New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions |
| title_short | New PPF Dependent Fixed Point Theorems for Suzuki Type GF-Contractions |
| title_sort | new ppf dependent fixed point theorems for suzuki type gf contractions |
| url | http://dx.doi.org/10.1155/2015/136306 |
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