On convergence of a sequence in complete metric spaces and its applications to some iterates of quasi-nonexpansive mappings

DOI10.1016/S0022-247X(02)00242-1zbMath1024.47036MaRDI QIDQ1856864

Yanyan Li

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointmetric spacequasi-nonexpansive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Virtually nonexpansive maps and their convergence sets ⋮ Some convergence theorems of a sequence in complete metric spaces and its applications ⋮ A note on fixed point sets in CAT(0) spaces ⋮ Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications ⋮ A characterization of the convergence of Picard iteration to a fixed point for a continuous mapping and an application

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
• Nonexpansive mappings and asymptotic regularity
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Fixed Points by a New Iteration Method
• The solution by iteration of nonlinear functional equations in Banach spaces
• On the Set of Subsequential Limit Points of Successive Approximations
• On the Mann Iterative Process
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