4.6 Article

A projection algorithm for solving pseudomonotone equilibrium problems and it's application to a class of bilevel equilibria

Journal

OPTIMIZATION
Volume 64, Issue 3, Pages 559-575

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2013.773329

Keywords

projection method; auxiliary subproblem principle; pseudomonotone equilibria; Armijo linesearch; bilevel equilibria; Ky Fan inequality; 90 C25; 65 K10; 2010

Funding

  1. NAFOSTED, Vietnam [101.02-2011-19]

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We propose a projection algorithm for solving an equilibrium problem (EP) where the bifunction is pseudomonotone with respect to its solution set. The algorithm is further combined with a cutting technique for minimizing the norm over the solution set of an EP whose bifunction is pseudomonotone with respect to the solution set.

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