Tripled fixed points of multivalued nonlinear contraction mappings in partially ordered metric spaces. (English) Zbl 1269.54015
Summary: V. Berinde and M. Borcut [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 4889–4897 (2011; Zbl 1225.54014)], introduced the concept of tripled fixed point for single mappings in partially ordered metric spaces. B. Samet and C. Vetro [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4260–4268 (2011; Zbl 1216.54021)] established some coupled fixed point theorems for multivalued nonlinear contraction mappings in partially ordered metric spaces. In this paper, we obtain the existence of tripled fixed points of multivalued nonlinear contraction mappings in the framework of partially ordered metric spaces. Also, we give an example.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
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