Almost sure \(T\)-stability and convergence for random iterative algorithms

DOI10.1007/s10483-011-1460-6zbMath1236.47082OpenAlexW2015265031MaRDI QIDQ414122

Min Liu, Jin-Hua Zhu, Shi Sheng Zhang, Xiong Rui Wang

Publication date: 10 May 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-011-1460-6

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Random nonlinear operators (47H40)

Related Items (8)

Stochastic approximation results for variational inequality problem using random-type iterative schemes ⋮ Random fixed point theorems in Banach spaces applied to a random nonlinear integral equation of the Hammerstein type ⋮ Convergence results for stochastic convex feasibility problem using random Mann and simultaneous projection iterative algorithms in Hilbert space ⋮ Bochner integrability of the random fixed point of a generalized random operator and almost sure stability of some faster random iterative processes ⋮ 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

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• Some theorems on weakly contractive maps.
• Equivalence and stability of random fixed point iterative procedures
• Random equations
• Random Ishikawa Iterative Sequence with Applications
• Fixed Point Iterations Using Infinite Matrices

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