Linesearch algorithms for split equilibrium problems and nonexpansive mappings
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Publication:269997
DOI10.1186/s13663-016-0518-3zbMath1346.47039OpenAlexW2295436720WikidataQ59438068 ScholiaQ59438068MaRDI QIDQ269997
Bui Van Dinh, Dang Xuan Son, Do Sang Kim, Liguo Jiao
Publication date: 6 April 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-016-0518-3
nonexpansive mappingprojection methodpseudomonotonicitysplit equilibrium problemcommon fixed point problemlinesearch ruleweak and strong convergence
Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Mathematical programming (90C99) Numerical methods for variational inequalities and related problems (65K15)
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Split Equilibrium Problems for Related Games and Applications to Economic Theory ⋮ Hybrid projected subgradient-proximal algorithms for solving split equilibrium problems and split common fixed point problems of nonexpansive mappings in Hilbert spaces ⋮ Infinitely split Nash equilibrium problems in repeated games ⋮ Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces ⋮ Split equilibrium problems for related games and applications to economic theory ⋮ A new linesearch iterative scheme for finding a common solution of split equilibrium and fixed point problems ⋮ Parallel projected subgradient method for solving split system of fixed point set constraint equilibrium problems in Hilbert spaces ⋮ PARALLEL EXTRAGRADIENT-PROXIMAL POINT METHODS FOR MULTIPLE SET SPLIT EQUILIBRIUM PROBLEMS OF PSEUDOMONOTONE MAPPINGS IN HILBERT SPACES ⋮ A new linesearch algorithm for split equilibrium problems
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