Iterative algorithms for generalized mixed equilibrium problems

DOI10.1016/J.JOEMS.2013.03.007zbMath1283.65065OpenAlexW2073639324MaRDI QIDQ392352

Shuja Haider Rizvi, Kaleem Raza Kazmi

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.03.007

zbMATH Keywords

convergenceHilbert spaceiterative algorithmsgeneralized mixed equilibrium problemsresolvent mapping\(\theta\)-pseudo monotoneauxiliary problemFejér monotonicitypseudo contractive inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (8)

A modified Picard S-hybrid iterative process for solving split generalized equilibrium problem ⋮ An inertial extragradient algorithm for split problems in Hilbert spaces ⋮ Some iterative schemes for generalized vector equilibrium problems and relatively nonexpansive mappings in Banach spaces ⋮ A viscosity Cesàro mean approximation method for split generalized vector equilibrium problem and fixed point problem ⋮ Iterative approximation of a common solution of split equilibrium, split variational inequality, and fixed point problem for a nonexpansive semigroup ⋮ Hybrid extragradient-like viscosity methods for generalized mixed equilibrium problems, variational inclusions, and optimization problems ⋮ Unnamed Item ⋮ A new mapping for finding a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem

Cites Work

• Unnamed Item
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• Auxiliary principle and algorithm for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces
• Auxiliary principle technique for equilibrium problems
• Mixed equilibrium problems: sensitivity analysis and algorithmic aspect.
• A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
• Iterative schemes for quasimonotone mixed variational inequalities
• Iterative approximation of solution of generalized mixed set-valued variational inequality problem
• Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings

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