On modified Noor iterations for asymptotically nonexpansive mappings

zbMath1183.47067MaRDI QIDQ961980

Abdul Rahim Khan

Publication date: 1 April 2010

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1267798503

zbMATH Keywords

strong convergenceweak convergencefixed pointretractcondition (A)nonself asymptotically nonexpansive map

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (11)

Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces ⋮ Analytical and numerical treatment of Jungck-type iterative schemes ⋮ One-step iteration scheme for multivalued nonexpansive mappings in CAT(0) spaces ⋮ Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces ⋮ Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme ⋮ Pointwise Lipschitzian mappings in uniformly convex and uniformly smooth Banach spaces ⋮ Common fixed point and solution of nonlinear functional equations ⋮ Stability and data dependence results for the Jungck--Khan iterative scheme ⋮ An iteration scheme for a family of multivalued mappings in CAT(0) spaces with an application to image recovery ⋮ A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space ⋮ Strong convergence of an Ishikawa-type algorithm in CAT(0) spaces

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