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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/136306 |
| Summary: | 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. |
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| ISSN: | 2314-8896 2314-8888 |