Browsing by Author "Pinyagina O."

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  • A descent method with inexact linear search for nonsmooth equilibrium problems 
    Konnov I.; Pinyagina O. (2008)
    A descent method with respect to the gap function is formulated and justified for the nonsmooth equilibrium problem. It uses the procedure of inexact linear search of the Armijo type. The proposed method converges under ...
  • A Subgradient Projection Method for Set-Valued Network Equilibrium Problems 
    Konnov I.; Pinyagina O. (2021)
    In the present work, we describe a general set-valued variant of the network equilibrium problem with fixed demand. This problem is equivalent to a set-valued variational inequality. Under certain additional assumptions, ...
  • Adaptive Descent Splitting Method for Decomposable Optimization Problems 
    Konnov I.; Pinyagina O. (2020)
    © 2020, Springer Nature Switzerland AG. We suggest a modified descent splitting method for optimization problems having a special decomposable structure. The proposed modification maintains the basic convergence properties ...
  • D-gap functions and descent methods for a class of monotone equilibrium problems 
    Konnov I.; Pinyagina O. (2004)
    We consider a general class of monotone equilibrium problems, which involve nonsmooth convex functions, in a real Banach space. We combine the D-gap function approach and regularization techniques and suggest a descent ...
  • Descent method for monotone mixed variational inequalities 
    Pinyagina O.; Ali M. (2008)
    We consider mixed variational inequalities involving a non-strictly monotone, differentiable cost mapping and a convex nondifferentiable function. We apply the Tikhonov-Browder regularization technique to these problems. ...
  • On a network equilibrium problem with mixed demand 
    Pinyagina O. (2016)
    © Springer International Publishing Switzerland 2016.In the present paper, we formulate the network equilibrium problem with mixed demand containing the fixed and variable components. We present the equilibrium conditions ...
  • Partial linearization method for network equilibrium problems with elastic demands 
    Konnov I.; Pinyagina O. (2016)
    © Springer International Publishing Switzerland 2016.We suggest a partial linearization method for network equilibrium problems with elastic demands, which can be set-valued in general. The main element of this method is ...
  • Selective bi-coordinate variations without line-search 
    Konnov I.; Pinyagina O. (2019)
    © 2019 IOP Publishing Ltd. In the present paper, we consider the optimal resource allocation problem with simplex-type constraints. For this problem, we propose a modification of the method of bi-coordinate variations with ...
  • Solution method for monotone mixed variational inequalities 
    Konnov I.; Pinyagina O. (2011)
    For monotone mixed variational inequalities, a solution method is proposed that combines regularization and a descent technique over a gap (merit) function. The same uniformly convex auxiliary function is used to construct ...
  • Splitting method with adaptive step-size 
    Konnov I.; Pinyagina O. (2019)
    © Springer Nature Switzerland AG 2019. We suggest the modified splitting method for mixed variational inequalities and prove its convergence under rather mild assumptions. This method maintains the basic convergence ...
  • The network equilibrium problem with mixed demand 
    Pinyagina O. (2017)
    © 2017, Pleiades Publishing, Ltd. We formulate the network equilibrium problem with mixed demand which generalizes the problems of network equilibrium with fixed and elastic demand. We prove the equilibrium conditions for ...

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