A Strong Convergence Theorem by the Shrinking Projection Method for the Split Common Null Point Problem in Banach Spaces

DOI10.1080/01630563.2016.1139589zbMath1351.47048OpenAlexW2463187324MaRDI QIDQ3188439

Takahashi, Wataru, Mayumi Hojo

Publication date: 19 August 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1139589

zbMATH Keywords

fixed pointduality mappinghybrid methodmetric resolventshrinking projection methodsplit common null point problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

The split common null point problem for generalized resolvents in two Banach spaces ⋮ Unnamed Item ⋮ A strong convergence theorem for the split common null point problem in Banach spaces ⋮ On the split common fixed point problem for strict quasi-\(\phi\)-pseudocontractive mappings in Banach spaces ⋮ The split common null point problem for Bregman generalized resolvents in two Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
• Convergence of best approximations in a smooth Banach space
• Proximal methods for a class of bilevel monotone equilibrium problems
• A multiprojection algorithm using Bregman projections in a product space
• Forcing strong convergence of proximal point iterations in a Hilbert space
• The split common null point problem in Banach spaces
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Nonlinear maximal monotone operators in Banach space
• Convergence of convex sets and of solutions of variational inequalities
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space

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