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Tripled fixed point theorems for mixed monotone Chatterjea type contractive operators. (English) Zbl 1336.54039

The authors prove existence and uniqueness results for so-called tripled fixed points for the class of operators described in the title. This extends and generalizes previous recent results of the first and third author, e.g. [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 4889–4897 (2011; Zbl 1225.54014); Appl. Math. Comput. 218, No. 14, 7339–7346 (2012; Zbl 1244.54086); ibid. 218, No. 10, 5929–5936 (2012; Zbl 1262.54017)].

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
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