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Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On the Parallel Proximal Decomposition Method for Solving the Problems of Convex Optimization

Volume 42, Numéro 4, 2010, pp. 13-18
DOI: 10.1615/JAutomatInfScien.v42.i4.20
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RÉSUMÉ

The parallel proximal decomposition algorithm for solving the problem of convex minimization in the Hilbert space is studied. The theorem on weak convergence of Cesaro averages of the sequence generated by the algorithm is proved.

CITÉ PAR
  1. Semenov V. V., Hybrid Splitting Methods for the System of Operator Inclusions with Monotone Operators1, Cybernetics and Systems Analysis, 50, 5, 2014. Crossref

  2. Denisov S. V., Semenov V. V., Chabak L. M., Convergence of the Modified Extragradient Method for Variational Inequalities with Non-Lipschitz Operators, Cybernetics and Systems Analysis, 51, 5, 2015. Crossref

  3. Lyashko Sergey I., Semenov Vladimir V., A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming, in Optimization and Its Applications in Control and Data Sciences, 115, 2016. Crossref

  4. Semenov Vladimir V., A variant of mirror descent method for solving variational inequalities, 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017. Crossref

  5. Semenov V. V., A Version of the Mirror descent Method to Solve Variational Inequalities*, Cybernetics and Systems Analysis, 53, 2, 2017. Crossref

  6. Semenov Vladimir V., Strongly Convergent Algorithms for Variational Inequality Problem Over the Set of Solutions the Equilibrium Problems, in Continuous and Distributed Systems, 211, 2014. Crossref

  7. Nomirovskii D. A., Rublyov B. V., Semenov V. V., Convergence of Two-Stage Method with Bregman Divergence for Solving Variational Inequalities*, Cybernetics and Systems Analysis, 55, 3, 2019. Crossref

  8. Vedel Ya. I., Sandrakov G. V., Semenov V. V., An Adaptive Two-Stage Proximal Algorithm for Equilibrium Problems in Hadamard Spaces, Cybernetics and Systems Analysis, 56, 6, 2020. Crossref

  9. Semenov V. V., Denisov S. V., Kravets A. V., Adaptive Two-Stage Bregman Method for Variational Inequalities, Cybernetics and Systems Analysis, 57, 6, 2021. Crossref

  10. Vedel Ya. I., Denisov S. V., Semenov V. V., An Adaptive Algorithm for the Variational Inequality Over the Set of Solutions of the Equilibrium Problem, Cybernetics and Systems Analysis, 57, 1, 2021. Crossref

  11. Vedel Ya. I., Sandrakov G. V., Semenov V. V., Chabak L. M., Convergence of a Two-Stage Proximal Algorithm for the Equilibrium Problem in Hadamard Spaces, Cybernetics and Systems Analysis, 56, 5, 2020. Crossref

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