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Kuhn-Tucker points play a fundamental role in the analysis and the numerical solution of monotone inclusion problems, providing in particular both primal and dual solutions.
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H. Attouch, A. Cabot, P. Frankel, and J. Peypouquet, Alternating proximal algorithms for linearly constrained variational inequalities: application to domain decomposition for PDE’s, Nonlinear Anal.,
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A. Alotaibi, P. L. Combettes, and N. Shahzad, Solving coupled composite monotone inclusions by successive Fejér approximations of their Kuhn-Tucker set, SIAM J. Optim
Cited in the paper.
P. L. Combettes, Systems of structured monotone inclusions: Duality, algorithms, and applications, SIAM J. Optim.,
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M. Marques Alves and J. G. Melo, Strong convergence in Hilbert spaces via Γ \Gamma -duality, J. Optim. Theory Appl.,
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B. C. Vũ, A splitting algorithm for dual monotone inclusions involving cocoercive operators, Adv. Comput. Math
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P. L. Combettes and B. C. Vũ, Variable metric forward-backward splitting with applications to monotone inclusions in duality, Optimization,
2014
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