Coincidence point theorems for graph-preserving multi-valued mappings
In this paper, we introduce the concepts of graph-preserving multi-valued mapping and a new type of multi-valued weak G-contraction on a metric space endowed with a directed graph G. We prove some coincidence point theorems for this type of multi-valued mapping and a surjective mapping g: X→X under...
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th-cmuir.6653943832-452912018-01-24T06:08:00Z Coincidence point theorems for graph-preserving multi-valued mappings Jukrapong Tiammee Suthep Suantai In this paper, we introduce the concepts of graph-preserving multi-valued mapping and a new type of multi-valued weak G-contraction on a metric space endowed with a directed graph G. We prove some coincidence point theorems for this type of multi-valued mapping and a surjective mapping g: X→X under some conditions. Several examples for these new concepts and some examples satisfying all conditions of our main results are also given. Our main results extend and generalize many coincidence point and fixed point theorems in partially ordered metric spaces. © 2014 Tiammee and Suantai; licensee Springer. 2018-01-24T06:08:00Z 2018-01-24T06:08:00Z 2014-01-01 Journal 16871812 16871820 2-s2.0-84899826652 10.1186/1687-1812-2014-70 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899826652&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45291 |
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In this paper, we introduce the concepts of graph-preserving multi-valued mapping and a new type of multi-valued weak G-contraction on a metric space endowed with a directed graph G. We prove some coincidence point theorems for this type of multi-valued mapping and a surjective mapping g: X→X under some conditions. Several examples for these new concepts and some examples satisfying all conditions of our main results are also given. Our main results extend and generalize many coincidence point and fixed point theorems in partially ordered metric spaces. © 2014 Tiammee and Suantai; licensee Springer. |
| format |
Journal |
| author |
Jukrapong Tiammee Suthep Suantai |
| spellingShingle |
Jukrapong Tiammee Suthep Suantai Coincidence point theorems for graph-preserving multi-valued mappings |
| author_facet |
Jukrapong Tiammee Suthep Suantai |
| author_sort |
Jukrapong Tiammee |
| title |
Coincidence point theorems for graph-preserving multi-valued mappings |
| title_short |
Coincidence point theorems for graph-preserving multi-valued mappings |
| title_full |
Coincidence point theorems for graph-preserving multi-valued mappings |
| title_fullStr |
Coincidence point theorems for graph-preserving multi-valued mappings |
| title_full_unstemmed |
Coincidence point theorems for graph-preserving multi-valued mappings |
| title_sort |
coincidence point theorems for graph-preserving multi-valued mappings |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84899826652&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45291 |
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