Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces
We prove the existence of the PPF dependent fixed point in the Razumikhin class for contractions of rational type in Banach spaces, by using a general class of pairs of functions. Our result has as particular cases a great number of interesting consequences which extend and generalize some results a...
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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: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/416187 |
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| author | J. Rocha B. Rzepka K. Sadarangani |
| author_facet | J. Rocha B. Rzepka K. Sadarangani |
| author_sort | J. Rocha |
| collection | DOAJ |
| description | We prove the existence of the PPF dependent fixed point in the Razumikhin class for contractions of rational type in Banach spaces, by using a general class of pairs of functions. Our result has as particular cases a great number of interesting consequences which extend and generalize some results appearing in the literature. |
| format | Article |
| id | doaj-art-c5da6a092ef040d4b85b896fe312e72d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c5da6a092ef040d4b85b896fe312e72d2025-02-03T01:29:10ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/416187416187Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach SpacesJ. Rocha0B. Rzepka1K. Sadarangani2Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartment of Mathematics, Rzeszów University of Technology, Aleja Powstanców Warszawy 8, 35-959 Rzeszów, PolandDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainWe prove the existence of the PPF dependent fixed point in the Razumikhin class for contractions of rational type in Banach spaces, by using a general class of pairs of functions. Our result has as particular cases a great number of interesting consequences which extend and generalize some results appearing in the literature.http://dx.doi.org/10.1155/2014/416187 |
| spellingShingle | J. Rocha B. Rzepka K. Sadarangani Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces Journal of Function Spaces |
| title | Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces |
| title_full | Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces |
| title_fullStr | Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces |
| title_full_unstemmed | Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces |
| title_short | Fixed Point Theorems for Contractions of Rational Type with PPF Dependence in Banach Spaces |
| title_sort | fixed point theorems for contractions of rational type with ppf dependence in banach spaces |
| url | http://dx.doi.org/10.1155/2014/416187 |
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