Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications
We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obta...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/793486 |
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| _version_ | 1832554295049846784 |
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| author | Erdal Karapınar Bessem Samet |
| author_facet | Erdal Karapınar Bessem Samet |
| author_sort | Erdal Karapınar |
| collection | DOAJ |
| description | We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results. |
| format | Article |
| id | doaj-art-786b7fdc6a4448e2884f6944189dd40c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-786b7fdc6a4448e2884f6944189dd40c2025-02-03T05:51:53ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/793486793486Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with ApplicationsErdal Karapınar0Bessem Samet1Department of Mathematics, Atilim University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, King Saud University, Riyadh 11451, Saudi ArabiaWe establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results.http://dx.doi.org/10.1155/2012/793486 |
| spellingShingle | Erdal Karapınar Bessem Samet Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications Abstract and Applied Analysis |
| title | Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications |
| title_full | Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications |
| title_fullStr | Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications |
| title_full_unstemmed | Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications |
| title_short | Generalized 𝜶-𝝍 Contractive Type Mappings and Related Fixed Point Theorems with Applications |
| title_sort | generalized 𝜶 𝝍 contractive type mappings and related fixed point theorems with applications |
| url | http://dx.doi.org/10.1155/2012/793486 |
| work_keys_str_mv | AT erdalkarapınar generalizedαψcontractivetypemappingsandrelatedfixedpointtheoremswithapplications AT bessemsamet generalizedαψcontractivetypemappingsandrelatedfixedpointtheoremswithapplications |