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Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces. (English) Zbl 1244.54086
Summary: We establish tripled coincidence point theorems for a pair of mappings $F:X\times X\times X\to X$ and $g:X\to X$ satisfying a nonlinear contractive condition in ordered metric spaces. The presented theorems extend several existing results in the literature: [{\it V. Lakshmikantham} and {\it L. Ćirić}, Nonlinear Anal., Theory Methods Appl. 70, No. 12, A, 4341--4349 (2009; Zbl 1176.54032)], and [{\it J. Harjani, B. López} and {\it K. Sadarangani}, ibid. Ser. A, Theory Methods 74, No. 5, 1749-1760 (2011; Zbl 1218.54040)].

54H25Fixed-point and coincidence theorems in topological spaces
Full Text: DOI
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