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...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | مقال |
| اللغة: | English |
| منشور في: |
Hindawi Publishing Corporation
2014
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| الوصول للمادة أونلاين: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84899826652&partnerID=40&md5=e75aa5bbf8fd4816b68e1eb3042d4001 http://cmuir.cmu.ac.th/handle/6653943832/4845 |
| الوسوم: |
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| المؤسسة: | Chiang Mai University |
| اللغة: | English |
| الملخص: | 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. |
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