Parallel and cyclic algorithms for quasi-nonexpansives in Hilbert space

DOI10.1155/2012/218341zbMath1253.65080OpenAlexW2047019428WikidataQ58696003 ScholiaQ58696003MaRDI QIDQ696016

Bin-Chao Deng, Tong Chen, Baogui Xin

Publication date: 18 December 2012

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

Full work available at URL: https://doi.org/10.1155/2012/218341

zbMATH Keywords

parallel algorithmsquasi-nonexpansive mappingscyclic algorithms

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

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• Iterative algorithm for completely generalized set-valued strongly nonlinear mixed variational-like inequalities
• A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces
• The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Cyclic algorithm for common fixed points of finite family of strictly pseudocontractive mappings of Browder-Petryshyn type
• An iterative approach to quadratic optimization
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings
• Strong convergence theorems of modified Mann iterative process for strict pseudo-contractions in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings

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