Finite convergence analysis and weak sharp solutions for variational inequalities

DOI10.1007/s11590-016-1076-7zbMath1385.90030arXiv1705.03271OpenAlexW2511433578MaRDI QIDQ1686554

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

Publication date: 15 December 2017

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03271

zbMATH Keywords

variational inequalitiesgap functionsgradient projection methodweak sharp solutionsexact proximal point methodfinite convergence analysis

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Linear conditioning, weak sharpness and finite convergence for equilibrium problems ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ Characterizations of weak sharp solutions for variational inequalities on Hadamard manifolds and applications ⋮ Finite convergence of extragradient-type methods for solving variational inequalities under weak sharp condition ⋮ Characterization of weakly sharp solutions of a variational-type inequality with convex functional ⋮ Weakly sharp solutions and finite convergence of algorithms for a variational inequality problem ⋮ Characterization results of weak sharp solutions for split variational inequalities with application to traffic analysis ⋮ Minimum and maximum principle sufficiency for a nonsmooth variational inequality ⋮ An iterative method and weak sharp solutions for multitime-type variational inequalities ⋮ Weak sharpness and finite convergence for solutions of nonsmooth variational inequalities in Hilbert spaces ⋮ On the finite termination of the gradient projection method ⋮ Weak sharpness and finite termination for variational inequalities on Hadamard manifolds ⋮ On a class of variational-type inequalities involving curvilinear integral functionals

Cites Work

• Characterization of weakly sharp solutions of a variational inequality by its primal gap function
• On finite convergence of iterative methods for variational inequalities in Hilbert spaces
• Finite convergence of the proximal point algorithm for variational inequality problems
• Modified projection method for strongly pseudomonotone variational inequalities
• Local convergence analysis of projection-type algorithms: unified approach
• 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
• Monotone Operators and the Proximal Point Algorithm
• Weak Sharp Solutions of Variational Inequalities
• Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• On the Maximality of Sums of Nonlinear Monotone Operators

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