Multiple-set split feasibility problems for \(\kappa\)-strictly pseudononspreading mapping in Hilbert spaces

DOI10.1155/2013/342545zbMath1291.47059OpenAlexW1981790179WikidataQ58915984 ScholiaQ58915984MaRDI QIDQ2015382

Xiang Zhang, Jing Quan, Shi Sheng Zhang

Publication date: 23 June 2014

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

Full work available at URL: https://doi.org/10.1155/2013/342545

Mathematics Subject Classification ID

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

Related Items

The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces ⋮ Unnamed Item ⋮ A strong convergence algorithm for the two-operator split common fixed point problem in Hilbert spaces ⋮ Demiclosed principle and convergence theorems for asymptotically strictly pseudononspreading mappings and mixed equilibrium problems ⋮ The split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces ⋮ On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces

Cites Work

• General iterative algorithms approach to variational inequalities and minimum-norm fixed point for minimization and split feasibility problems
• Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space
• Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
• A multiprojection algorithm using Bregman projections in a product space
• A modified Halpern's iterative scheme for solving split feasibility problems
• Split feasibility and fixed-point problems for asymptotically quasi-nonexpansive mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• The multiple-sets split feasibility problem and its applications for inverse problems
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
• Iterative oblique projection onto convex sets and the split feasibility problem

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