Random Ishikawa Iterative Sequence with Applications

DOI10.1081/SAP-200044432zbMath1065.60084OpenAlexW1991331797MaRDI QIDQ4678746

Yeol Je Cho, Hai-Yun Zhou, Jong Kyu Kim, Shi Sheng Zhang

Publication date: 23 May 2005

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/sap-200044432

zbMATH Keywords

random fixed pointmeasurable functionrandom operatorrandom strongly pseudo-contractive operatorrandom Ishikawa iterative sequence

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items (5)

Almost sure \(T\)-stability and convergence for random iterative algorithms ⋮ Random iterative algorithms and almost sure stability in Banach spaces ⋮ Convergence and (S, T)-stability almost surely for random Jungck-type iteration processes with applications ⋮ Convergence and almost sure \(T\)-stability for a random iterative sequence generated by a generalized random operator ⋮ Convergence and summable almost \(T\)-stability of the random Picard-Mann hybrid iterative process

Cites Work

• Convergence of an iteration leading to a solution of a random operator equation
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• Some random fixed point theorems for nonlinear mappings
• Approximation of random fixed points in normed spaces
• Random Mann iteration scheme
• Fixed point theorems in probabilistic analysis
• Convergence theorems for \(\phi\)-strongly accretive and \(\phi\)-hemicontractive operators

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