Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635169 | Applied Mathematics and Computation | 2007 | 7 Pages |
Abstract
In this paper, we introduce two new classes of operators-partially relaxed strongly pseudomonotonicity and partially relaxed strongly jointly pseudomonotonicity. We use the auxiliary principle technique to suggest a new class of iterative algorithms for solving generalized mixed implicit quasi-equilibrium problems. We also prove that the convergence of the suggested methods requires only the continuity and the partially relaxed strongly jointly pseudomonotonicity. Since generalized mixed implicit quasi-equilibrium problems include equilibrium, variational inequality and complementarity problems as specials, our results represent improvement and generalization of the previously known results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fu Quan Xia, Xie Ping Ding,