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Fixed points of Ciric quasi-contractive operators in generalized convex metric spaces. (English) Zbl 1164.47375

Summary: We establish a general theorem to approximate fixed points of Ćirić quasi-contractive operators on a generalized convex metric space through the Mann type iteration process with errors in the sense of Y.–G.Xu [J. Math.Anal.Appl.224, No.1, 91–101 (1998; Zbl 0936.47041)]. Our result generalizes and improves upon, among others, the results of B.E.Rhoades [Trans.Am.Math.Soc.196, 161–176 (1974; Zbl 0285.47038)].

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
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