Convergence theorems for fixed points of uniformly quasi-Lipschitzian mappings in convex metric spaces

DOI10.1016/j.na.2008.02.106zbMath1225.47114OpenAlexW1992758549MaRDI QIDQ1001881

Li-Wei Liu, Chao Wang

Publication date: 19 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.106

zbMATH Keywords

convex metric spacesIshikawa type iteration process with errorsuniformly quasi-Lipschitzian mappings

Mathematics Subject Classification ID

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

Related Items

Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces ⋮ Convergence theorems for the unique common fixed point of a pair of asymptotically nonexpansive mappings in generalized convex metric space ⋮ New iterative schemes for asymptotically quasi-nonexpansive nonself-mappings in Banach spaces ⋮ Fixed point theorems in generalized convex metric space and an application to the solution of Volterra integral equations ⋮ Strong convergence of a general iteration scheme in \(CAT(0)\) spaces ⋮ Unnamed Item ⋮ Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces ⋮ Approximating the common fixed points of two sequences of uniformly quasi-Lipschitzian mappings in convex metric spaces ⋮ Stronger convergence theorems for an infinite family of uniformly quasi-Lipschitzian mappings in convex metric spaces ⋮ Some convergence theorems for contractive type mappings in \(CAT(0)\) spaces ⋮ Unnamed Item ⋮ Convergence theorems of three-step iterative scheme for a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces ⋮ Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces

Cites Work

• Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings
• Weak and strong convergence of the Ishikawa iteration process with errors for two asymptotically nonexpansive mappings
• Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
• Fixed points of quasinonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member