Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results
First, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/976859 |
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| author | N. Hussain E. Karapınar S. Sedghi N. Shobkolaei S. Firouzian |
| author_facet | N. Hussain E. Karapınar S. Sedghi N. Shobkolaei S. Firouzian |
| author_sort | N. Hussain |
| collection | DOAJ |
| description | First, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are
provided to demonstrate the usability of the proved theorems. |
| format | Article |
| id | doaj-art-6e3947c7e79c4bc791871524fc0169eb |
| 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-6e3947c7e79c4bc791871524fc0169eb2025-02-03T01:10:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/976859976859Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point ResultsN. Hussain0E. Karapınar1S. Sedghi2N. Shobkolaei3S. Firouzian4Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Atilim University, İncek, 06836 Ankara, TurkeyDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranDepartment of Mathematics, Babol Branch, Islamic Azad University, Babol, IranPayame Noor University, Babol, IranFirst, we define cyclic (ϕ)-contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)-contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.http://dx.doi.org/10.1155/2014/976859 |
| spellingShingle | N. Hussain E. Karapınar S. Sedghi N. Shobkolaei S. Firouzian Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results Abstract and Applied Analysis |
| title | Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results |
| title_full | Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results |
| title_fullStr | Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results |
| title_full_unstemmed | Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results |
| title_short | Cyclic (ϕ)-Contractions in Uniform Spaces and Related Fixed Point Results |
| title_sort | cyclic ϕ contractions in uniform spaces and related fixed point results |
| url | http://dx.doi.org/10.1155/2014/976859 |
| work_keys_str_mv | AT nhussain cyclicphcontractionsinuniformspacesandrelatedfixedpointresults AT ekarapınar cyclicphcontractionsinuniformspacesandrelatedfixedpointresults AT ssedghi cyclicphcontractionsinuniformspacesandrelatedfixedpointresults AT nshobkolaei cyclicphcontractionsinuniformspacesandrelatedfixedpointresults AT sfirouzian cyclicphcontractionsinuniformspacesandrelatedfixedpointresults |