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Some strong convergence theorems for two contractive mappings. (Chinese. English summary) Zbl 1368.47085

Summary: The problems on convergence of fixed point with Ishikawa iterative process for quasi-contractive mapping pair and generalized contractive mapping in Banach spaces are studied. The problem on convergence of fixed point with generalized Ishikawa iterative process for quasi-constractive mapping pair in convex metric spaces is studied. The obtained result extend and improve corresponding resuls about the existing refrences.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.