Concepedia

An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings

Timilehin Opeyemi Alakoya, Adeolu Taiwo, Oluwatosin Temitope Mewomo, Yeol Je Cho

ANNALI DELL UNIVERSITA DI FERRARA · 2021 · 49 citations · 52 references

Concepts

Natural SciencesMathematicsAlgorithmsOptimizationConvex AnalysisConvex OptimizationIterative SolversNumerical AlgorithmsVariational FormulationVariational InequalitiesConvex Variational ProblemsGeneralized Variational InequalitiesMinimizationNonexpansive MappingsSystem ZerosVariational Inequality ProblemsVariational Inequality TheoryZeros

References

52

On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators

Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming · 1992 · 2.9K citations · Full text

Computing, Computer Science, Algorithms +8

Weak convergence of the sequence of successive approximations for nonexpansive mappings

Z. Opial · Bulletin of the American Mathematical Society · 1967 · 2.3K citations · Full text

Natural Sciences, Mathematics, Topology +10

The extragradient method for finding saddle points and other problems

G. M. Korpelevich · Medical Entomology and Zoology · 1976 · 1.6K citations

Natural Sciences, Mathematics, Differential Equations +13

The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space

Yair Censor, Aviv Gibali, Simeon Reich · Journal of Optimization Theory and Applications · 2010 · 867 citations

Natural Sciences, Computational Engineering, Optimization +13

Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings

Wataru Takahashi, Masashi Toyoda · Journal of Optimization Theory and Applications · 2003 · 620 citations

Natural Sciences, Mathematics, Topology +13