Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces
The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main th...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/4053478 |
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| author | Chaiporn Thangthong Anchalee Khemphet |
| author_facet | Chaiporn Thangthong Anchalee Khemphet |
| author_sort | Chaiporn Thangthong |
| collection | DOAJ |
| description | The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems. |
| format | Article |
| id | doaj-art-a4d1eca808134c83bd057afcf4e77a3a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a4d1eca808134c83bd057afcf4e77a3a2025-02-03T01:12:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/40534784053478Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric SpacesChaiporn Thangthong0Anchalee Khemphet1Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandCenter of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandThe result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.http://dx.doi.org/10.1155/2018/4053478 |
| spellingShingle | Chaiporn Thangthong Anchalee Khemphet Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces |
| title_full | Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces |
| title_fullStr | Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces |
| title_full_unstemmed | Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces |
| title_short | Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces |
| title_sort | coincidence point theorems for α β γ contraction mappings in generalized metric spaces |
| url | http://dx.doi.org/10.1155/2018/4053478 |
| work_keys_str_mv | AT chaipornthangthong coincidencepointtheoremsforabgcontractionmappingsingeneralizedmetricspaces AT anchaleekhemphet coincidencepointtheoremsforabgcontractionmappingsingeneralizedmetricspaces |