Weak sharp solutions for nonsmooth variational inequalities

DOI10.1007/s10957-017-1181-5zbMath1387.49011OpenAlexW2767031659MaRDI QIDQ1695815

Qamrul Hasan Ansari, Suliman Al-Homidan, Nguyen Van Luong

Publication date: 8 February 2018

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1181-5

zbMATH Keywords

pseudomonotone operatorsfinite termination propertynonsmooth variational inequalitiesweak sharp solutions

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

Related Items (6)

Linear conditioning, weak sharpness and finite convergence for equilibrium problems ⋮ Finite convergence of extragradient-type methods for solving variational inequalities under weak sharp condition ⋮ Minimum and maximum principle sufficiency for a nonsmooth variational inequality ⋮ Weak sharpness and finite convergence for solutions of nonsmooth variational inequalities in Hilbert spaces ⋮ Some aspects of nonsmooth variational inequalities on Hadamard manifolds ⋮ Weak sharpness and finite termination for variational inequalities on Hadamard manifolds

Cites Work

• Minimum and maximum principle sufficiency properties for nonsmooth variational inequalities
• Characterization of weakly sharp solutions of a variational inequality by its primal gap function
• Finite termination of the proximal point algorithm
• A note on finite termination of iterative algorithms in mathematical programming
• On finite convergence of proximal point algorithms for variational inequalities
• Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization
• Weak Sharp Minima in Mathematical Programming
• Necessary and sufficient conditions for a penalty method to be exact
• Weak Sharp Solutions of Variational Inequalities
• Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
• Convex Analysis

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