The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space
© 2020 by the Mathematical Association of Thailand. In the current study, we focus on finding a coincidence point of two certain mappings that are defined on a generalized metric space. These mappings are assumed to have some admissible contraction property of a specific kind based on the generalize...
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th-cmuir.6653943832-707392020-10-14T08:40:20Z The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space Anchalee Khemphet Mathematics © 2020 by the Mathematical Association of Thailand. In the current study, we focus on finding a coincidence point of two certain mappings that are defined on a generalized metric space. These mappings are assumed to have some admissible contraction property of a specific kind based on the generalized metric. Our main results provide the sufficient conditions to the existence of a coincidence point of the mappings. Further, we give an example satisfying all conditions to support our main theorem. Finally, the result is applied to the integral equation. Specifically, we obtain some assumptions to guarantee the existence of a solution when the equation is homogeneous. 2020-10-14T08:40:20Z 2020-10-14T08:40:20Z 2020-01-01 Journal 16860209 2-s2.0-85084472758 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084472758&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70739 |
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Thailand Thailand |
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Mathematics |
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Mathematics Anchalee Khemphet The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
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© 2020 by the Mathematical Association of Thailand. In the current study, we focus on finding a coincidence point of two certain mappings that are defined on a generalized metric space. These mappings are assumed to have some admissible contraction property of a specific kind based on the generalized metric. Our main results provide the sufficient conditions to the existence of a coincidence point of the mappings. Further, we give an example satisfying all conditions to support our main theorem. Finally, the result is applied to the integral equation. Specifically, we obtain some assumptions to guarantee the existence of a solution when the equation is homogeneous. |
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Journal |
| author |
Anchalee Khemphet |
| author_facet |
Anchalee Khemphet |
| author_sort |
Anchalee Khemphet |
| title |
The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
| title_short |
The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
| title_full |
The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
| title_fullStr |
The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
| title_full_unstemmed |
The existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
| title_sort |
existence theorem for a coincidence point of some admissible contraction mappings in a generalized metric space |
| publishDate |
2020 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85084472758&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70739 |
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