An algorithm for solving a class of bilevel split problems involving pseudomonotone equilibrium problem

DOI10.1007/s13370-018-0614-0zbMath1413.47136OpenAlexW2883754745WikidataQ129486483 ScholiaQ129486483MaRDI QIDQ1715770

Dang Xuan Son

Publication date: 29 January 2019

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0614-0

zbMATH Keywords

strong convergenceequilibrium modelbilevel optimizationsplit equilibrium problemjointly constrained

Mathematics Subject Classification ID

Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

• Unnamed Item
• Iterative methods for solving monotone equilibrium problems via dual gap functions
• Solving proximal split feasibility problems without prior knowledge of operator norms
• Split monotone variational inclusions
• A multiprojection algorithm using Bregman projections in a product space
• Existence and solution methods for equilibria
• On split common fixed point problems
• Iterative Algorithms for Nonlinear Operators
• The multiple-sets split feasibility problem and its applications for inverse problems
• A gradient projection method for solving split equality and split feasibility problems in Hilbert spaces
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• Iterative oblique projection onto convex sets and the split feasibility problem
• A hybrid extragradient method extended to fixed point problems and equilibrium problems
• Extragradient algorithms extended to equilibrium problems¶

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