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The paper introduces a modified subgradient extragradient method for solving equilibrium problems involving pseudomonotone and Lipschitz-type bifunctions in Hilbert spaces. Theorem of weak convergence is established under suitable conditions. Several experiments are implemented to illustrate the numerical behavior of the new algorithm and compare it with a well known extragradient method.
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참고문헌 (32)
참고문헌 신청
P. K. Anh / 2016 / Parallel hybrid iterative methods for variational inequalities, equilibrium problems, and common fixed point problems / Vietnam J. Math. 44(2):351~374
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63(1-4):123~145
S. Boyd / 2004 / Convex Optimization / Cambridge University Press
Y. Censor / 2011 / The subgradient extragradient method for solving variational inequalities in Hilbert space / J. Optim. Theory Appl. 148(2):318~335
Y. Censor / 2011 / Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space / Optim. Methods Softw. 26(4-5):827~845
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63(1-4):123~145
S. Boyd / 2004 / Convex Optimization / Cambridge University Press
Y. Censor / 2011 / The subgradient extragradient method for solving variational inequalities in Hilbert space / J. Optim. Theory Appl. 148(2):318~335
Y. Censor / 2011 / Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space / Optim. Methods Softw. 26(4-5):827~845
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