Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10678449 | Applied Mathematics Letters | 2005 | 6 Pages |
Abstract
In this paper, we introduce a new class of equilibrium problems, which is called the generalized mixed quasi-equilibrium problems with trifunction. Using the auxiliary principle technique, we suggest and analyze a proximal point method for solving the generalized mixed quasi-equilibrium problems. It is shown that the convergence of the proposed method requires only pseudomonotonicity, which is a weaker condition than monotonicity. Our results represent an improvement and refinement of previously known results. Since the generalized mixed quasi-equilibrium problems include equilibrium problems and variational inequalities as special cases, results proved in this paper continue to hold for these problems.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Muhammad Aslam Noor,