Some convergence and stability results for the Kirk multistep and Kirk-SP fixed point iterative algorithms

DOI10.1155/2014/806537zbMath1473.47035arXiv1306.1954OpenAlexW2032002940WikidataQ59041661 ScholiaQ59041661MaRDI QIDQ1725027

Faik Gürsoy, Vatan Karakaya, Billy E. Rhoades

Publication date: 14 February 2019

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

Full work available at URL: https://arxiv.org/abs/1306.1954

zbMATH Keywords

stabilityconvergencecontractive-like operatorsKirk multistep iterationKirk-type iterative algorithm

Mathematics Subject Classification ID

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

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Cites Work

• Fixed point theorems and stability results for fixed point iteration procedures
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• Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
• Fixed points of quasinonexpansive mappings
• Comments on two fixed point iteration methods
• 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
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• 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
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