Data dependence results for multistep and CR iterative schemes in the class of contractive-like operators

DOI10.1155/2013/381980zbMath1364.47027OpenAlexW2037044775WikidataQ58916110 ScholiaQ58916110MaRDI QIDQ2015435

Faik Gürsoy, Vatan Karakaya, Kadri Doğan, Müzeyyen Ertürk

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/381980

zbMATH Keywords

Banach spacedata dependence of fixed points

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process ⋮ Some convergence, stability, and data dependence results for $K^{\ast }$ iterative method of quasi-strictly contractive mappings ⋮ Comparison rate of convergence and data dependence for a new iteration method ⋮ Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms ⋮ Stability and data dependence results for the Jungck--Khan iterative scheme

Cites Work

• \(n\)-tuplet fixed point theorems for contractive type mappings in partially ordered metric spaces
• On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
• Iterative approximation of fixed points
• Data dependence for Ishikawa iteration when dealing with contractive-like operators
• Fixed point theorems and stability results for fixed point iteration procedures. II
• New approximation schemes for general variational inequalities
• On the rate of convergence of Kirk-type iterative schemes
• The equivalence between Mann-Ishikawa iterations and multistep iteration
• Short proofs of stability results for fixed point iteration procedures for a class of contractive-type mappings
• Data dependence results of new multi-step and S-iterative schemes for contractive-like operators
• A Comparison of Various Definitions of Contractive Mappings
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration
• Fixed point theorems in metric spaces
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