Continuous dependence for two implicit Kirk-type algorithms in general hyperbolic spaces

DOI10.1155/2017/6570367zbMath1392.47004OpenAlexW2707839526WikidataQ59142855 ScholiaQ59142855MaRDI QIDQ1653300

K. Rauf, S. M. Alata, O. T. Wahab

Publication date: 3 August 2018

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/6570367

Mathematics Subject Classification ID

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

Cites Work

• Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
• Strong convergence and stability of Kirk-multistep-type iterative schemes for contractive-type operators
• An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
• On faster implicit hybrid Kirk-multistep schemes for contractive-type operators
• Data dependence for Ishikawa iteration when dealing with contractive-like operators
• On the rate of convergence of Kirk-type iterative schemes
• Data dependence results of new multi-step and S-iterative schemes for contractive-like operators
• A convexity in metric space and nonexpansive mappings. I.
• A CONVERGENCE THEOREM FOR SOME MEAN VALUE FIXED POINT ITERATION PROCEDURES
• Some logical metatheorems with applications in functional analysis
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