A hybrid algorithm with variable coefficients for asymptotically pseudocontractive mappings in the intermediate sense on unbounded domains

DOI10.1016/j.na.2011.11.026zbMath1295.47079OpenAlexW2008273575MaRDI QIDQ412766

Ci-Shui Ge

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.11.026

zbMATH Keywords

fixed pointunbounded domainasymptotically pseudocontractive mapping in the intermediate sensehybrid algorithm with variable coefficients

Mathematics Subject Classification ID

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

Related Items (4)

A hybrid projection method for solving a common solution of a system of equilibrium problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense in Hilbert spaces ⋮ Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems ⋮ Hybrid algorithms for equilibrium and common fixed point problems with applications ⋮ Multiple-set split feasibility problems for \(\kappa\)-asymptotically strictly pseudo-nonspreading mappings in Hilbert spaces

Cites Work

• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Demiclosedness principle and convergence theorems for \(k\)-strictly asymptotically pseudocontractive maps
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions
• Convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense
• A hybrid iterative scheme for asymptotically \(k\)-strict pseudo-contractions in Hilbert spaces
• Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces
• Asymptotically strict pseudocontractive mappings in the intermediate sense
• Strong convergence theorems by hybrid method for asymptotically \(k\)-strict pseudo-contractive mapping in Hilbert space
• Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
• Strong convergence of the CQ method for fixed point iteration processes
• Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings

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