Samet, Bessem; Vetro, Calogero Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. (English) Zbl 1216.54021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4260-4268 (2011). Summary: We establish two coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. The theorems presented extend some results due to Lj.Ćirić [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7–8, A, 2716–2723 (2009; Zbl 1179.54053)]. An example is given to illustrate the usability of our results. Cited in 5 ReviewsCited in 49 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 54C60 Set-valued maps in general topology Keywords:coupled fixed point; multi-valued nonlinear contraction; partially ordered set Citations:Zbl 1179.54053 PDFBibTeX XMLCite \textit{B. Samet} and \textit{C. Vetro}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4260--4268 (2011; Zbl 1216.54021) Full Text: DOI References: [1] Altun, I., A common fixed point theorem for multivalued Ćirić type mappings with new type compatibility, An. St. Univ. Ovidius Constanta., 17, 2, 19-26 (2009) · Zbl 1199.54201 [2] Ćirić, Lj. B., Fixed point theorems for multi-valued contractions in complete metric spaces, J. Math. Anal. Appl., 348, 499-507 (2008) · Zbl 1213.54063 [3] Ćirić, Lj. 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