Weak and strong convergence of proximal penalization and proximal splitting algorithms for two-level hierarchical Ky Fan minimax inequalities

DOI10.1080/02331934.2013.858397zbMath1314.49020OpenAlexW2006936373MaRDI QIDQ5248237

Zaki Chbani, Hassan Riahi

Publication date: 28 April 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.858397

zbMATH Keywords

strong convergenceweak convergenceproximal splitting algorithmKy Fan minimax inequalitiesproximal penalization algorithm

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence of solutions for minimax problems (49J35) Optimality conditions for minimax problems (49K35)

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Unnamed Item, A self-adaptive inertial subgradient extragradient algorithm for solving bilevel equilibrium problems, One-step iterative method for bilevel equilibrium problem in Hilbert space, Unnamed Item, Weak and strong convergences of the generalized penalty Forward–Forward and Forward–Backward splitting algorithms for solving bilevel hierarchical pseudomonotone equilibrium problems, Auxiliary principle technique for hierarchical equilibrium problems, Minimax theorems for set-valued maps without continuity assumptions, New explicit extragradient methods for solving a class of bilevel equilibrium problems, Extragradient subgradient methods for solving bilevel equilibrium problems, New subgradient extragradient methods for solving monotone bilevel equilibrium problems

Cites Work

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