Some results on variational inequalities and generalized equilibrium problems with applications

DOI10.1590/S1807-03022010000300005zbMath1216.47099OpenAlexW2121453740MaRDI QIDQ619673

Sun Young Cho, Xiaolong Qin, Kang, Shin Min

Publication date: 26 January 2011

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1590/s1807-03022010000300005

zbMATH Keywords

sensitivitystabilityfixed pointvariational inequalitynonexpansive mappingordinary differential operatorsmonotone operatorsgeneralised equilibrium problem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) General theory of ordinary differential operators (47E05) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (4)

Strong convergence of a regularization algorithm for common solutions with applications ⋮ Iterative algorithms for mixed equilibrium problems, system of quasi-variational inclusion, and fixed point problem in Hilbert spaces ⋮ Strong convergence of a Halpern-type algorithm for common solutions of fixed point and equilibrium problems ⋮ Convergence of a regularization algorithm for nonexpansive and monotone operators in Hilbert spaces

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