Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces
Coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/736367 |
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| _version_ | 1850164560299819008 |
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| author | Hemant Kumar Nashine Hassen Aydi |
| author_facet | Hemant Kumar Nashine Hassen Aydi |
| author_sort | Hemant Kumar Nashine |
| collection | DOAJ |
| description | Coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence of a common solution to a system of integral equations. |
| format | Article |
| id | doaj-art-e9903124fe4349df89387f06bd48859a |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e9903124fe4349df89387f06bd48859a2025-08-20T02:21:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/736367736367Generalized Altering Distances and Common Fixed Points in Ordered Metric SpacesHemant Kumar Nashine0Hassen Aydi1Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur 492101, IndiaInstitut Superiéur d'Informatique et des Technologies de Communication de Hammam Sousse, Route GP1-4011, Hammam Sousse, TunisiaCoincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence of a common solution to a system of integral equations.http://dx.doi.org/10.1155/2012/736367 |
| spellingShingle | Hemant Kumar Nashine Hassen Aydi Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces |
| title_full | Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces |
| title_fullStr | Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces |
| title_full_unstemmed | Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces |
| title_short | Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces |
| title_sort | generalized altering distances and common fixed points in ordered metric spaces |
| url | http://dx.doi.org/10.1155/2012/736367 |
| work_keys_str_mv | AT hemantkumarnashine generalizedalteringdistancesandcommonfixedpointsinorderedmetricspaces AT hassenaydi generalizedalteringdistancesandcommonfixedpointsinorderedmetricspaces |