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Ahmed, M. A.; Zeyada, F. M.

Some convergence theorems of a sequence in complete metric spaces and its applications. (English) Zbl 1185.47074

Fixed Point Theory Appl. 2010, Article ID 647085, 10 p. (2010).
Summary: The concept of weakly quasi-nonexpansive mappings with respect to a sequence is introduced. This concept generalizes the concept of quasi-nonexpansive mappings with respect to a sequence due to M.A.Ahmed and F.M.Zeyada [J. Math.Anal.Appl.274, No.1, 458–465 (2002; Zbl 1024.47036)]. Mainly, some convergence theorems are established and their applications to certain iterations are given.

Cited in 2 Reviews
Cited in 2 Documents

MSC:

47J25 Iterative procedures involving nonlinear operators
47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

complete metric spaces; weakly quasi-nonexpansive mappings; fixed points; iterations; convergence

Citations:

Zbl 1024.47036
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Full Text: DOI EuDML
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References:

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