Coupled fixed points for multivalued mappings in fuzzy metric spaces. (English) Zbl 1318.54032
Summary: In this paper, we establish two coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered fuzzy metric spaces. The theorems presented extend some corresponding results due to ordinary metric spaces. An example is given to illustrate the usability of our results.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54C60 | Set-valued maps in general topology |
| 54A40 | Fuzzy topology |
| 54E40 | Special maps on metric spaces |
| 54F05 | Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces |
Keywords:
coupled fixed point; multivalued contractive mapping; fuzzy metric space; partially ordered setReferences:
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