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Hemiequilibrium problems

Muhammad Aslam Noor

International Journal of Stochastic Analysis, 2004, vol. 2004, 1-10

Abstract:

We consider a new class of equilibrium problems, known as hemiequilibrium problems. Using the auxiliary principle technique, we suggest and analyze a class of iterative algorithms for solving hemiequilibrium problems, the convergence of which requires either pseudomonotonicity or partially relaxed strong monotonicity. As a special case, we obtain a new method for hemivariational inequalities. Since hemiequilibrium problems include hemivariational inequalities and equilibrium problems as special cases, the results proved in this paper still hold for these problems.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:109530

DOI: 10.1155/S1048953304311019

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