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Strong convergence theorem for strict pseudo-contractions in Hilbert spaces. (English) Zbl 1342.47081

Summary: In this paper, inspired by N. Hussain et al. [Fixed Point Theory Appl. 2015, Article ID 17, 16 p. (2015; Zbl 1321.47141)], we study a modified Mann method to approximate strongly fixed points of strict pseudo-contractive mappings. In [loc. cit.] it was shown that the same algorithm converges strongly to a fixed point of a nonexpansive mapping under suitable hypotheses on the coefficients. Here the assumptions on the coefficients are different, as well as the techniques of the proof.

MSC:

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

Citations:

Zbl 1321.47141
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Full Text: DOI

References:

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