Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g
© 2020 by TJM. All rights reserved. In this work, we present a result on the existence of a best proximity coincidence point of a pair of mappings that is a G-proximal generalized Geraghty mapping in a complete metric space endowed with a directed graph G. Furthermore, if any pair of the two best pr...
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th-cmuir.6653943832-706992020-10-14T08:39:34Z Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g Anchalee Khemphet Mathematics © 2020 by TJM. All rights reserved. In this work, we present a result on the existence of a best proximity coincidence point of a pair of mappings that is a G-proximal generalized Geraghty mapping in a complete metric space endowed with a directed graph G. Furthermore, if any pair of the two best proximity coincidence points is an edge of the graph G, then the best proximity coincidence point is unique. In addition, an example is given to support the main theorem. Finally, we provide some consequences of the theorem for the special cases of the mapping. 2020-10-14T08:39:34Z 2020-10-14T08:39:34Z 2020-09-01 Journal 16860209 2-s2.0-85091989684 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091989684&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70699 |
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Mathematics Anchalee Khemphet Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
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© 2020 by TJM. All rights reserved. In this work, we present a result on the existence of a best proximity coincidence point of a pair of mappings that is a G-proximal generalized Geraghty mapping in a complete metric space endowed with a directed graph G. Furthermore, if any pair of the two best proximity coincidence points is an edge of the graph G, then the best proximity coincidence point is unique. In addition, an example is given to support the main theorem. Finally, we provide some consequences of the theorem for the special cases of the mapping. |
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Journal |
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Anchalee Khemphet |
| author_facet |
Anchalee Khemphet |
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Anchalee Khemphet |
| title |
Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
| title_short |
Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
| title_full |
Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
| title_fullStr |
Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
| title_full_unstemmed |
Best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
| title_sort |
best proximity coincidence point theorem for g-proximal generalized geraghty mapping in a metric space with graph g |
| publishDate |
2020 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091989684&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70699 |
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