Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings

DOI10.1186/1687-1812-2011-77zbMath1311.47101OpenAlexW2155038429WikidataQ59267890 ScholiaQ59267890MaRDI QIDQ359932

Jong Kyu Kim, Yeol Je Cho, Li Yang, Shi Sheng Zhang

Publication date: 23 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-77

zbMATH Keywords

Opial conditionsplit feasibility problemdemi-closednessmultiple-set split feasibility problemtotal asymptotically strict pseudocontraction

Mathematics Subject Classification ID

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

Related Items

Self-adaptive algorithms for proximal split feasibility problems and strong convergence analysis, Iterative methods for convex proximal split feasibility problems and fixed point problems, Strong convergence algorithms of the split common fixed point problem for total quasi-asymptotically pseudocontractive operators, Strong convergence theorems of the Halpern-Mann's mixed iteration for a totally quasi-\(\phi\)-asymptotically nonexpansive nonself multi-valued mapping in Banach spaces, Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping, On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces

Cites Work

• Unnamed Item
• Algorithms for the split variational inequality problem
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
• A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
• A multiprojection algorithm using Bregman projections in a product space
• Some theorems on weakly contractive maps.
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
• Approximating fixed points of total asymptotically nonexpansive mappings
• Construction of fixed points of nonlinear mappings in Hilbert space
• On the projection methods for fixed point problems
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• 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
• The split common fixed-point problem for demicontractive mappings
• Iterative oblique projection onto convex sets and the split feasibility problem
• The relaxed CQ algorithm solving the split feasibility problem
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Several solution methods for the split feasibility problem