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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
|
| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84899826652&partnerID=40&md5=e75aa5bbf8fd4816b68e1eb3042d4001 http://cmuir.cmu.ac.th/handle/6653943832/4845 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Language: | English |
| id |
th-cmuir.6653943832-4845 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-48452014-08-30T02:55:52Z Coincidence point theorems for graph-preserving multi-valued mappings Tiammee J. Suantai S. 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. 2014-08-30T02:55:52Z 2014-08-30T02:55:52Z 2014 Article 16871812 10.1186/1687-1812-2014-70 http://www.scopus.com/inward/record.url?eid=2-s2.0-84899826652&partnerID=40&md5=e75aa5bbf8fd4816b68e1eb3042d4001 http://cmuir.cmu.ac.th/handle/6653943832/4845 English Hindawi Publishing Corporation |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
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 |
Article |
| author |
Tiammee J. Suantai S. |
| spellingShingle |
Tiammee J. Suantai S. Coincidence point theorems for graph-preserving multi-valued mappings |
| author_facet |
Tiammee J. Suantai S. |
| author_sort |
Tiammee J. |
| 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 |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84899826652&partnerID=40&md5=e75aa5bbf8fd4816b68e1eb3042d4001 http://cmuir.cmu.ac.th/handle/6653943832/4845 |
| _version_ |
1681420313812795392 |