Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630354 | Applied Mathematics and Computation | 2011 | 8 Pages |
Abstract
In this paper, we study a new system of generalized mixed equilibrium problems involving skew-symmetric bifunctions (SGMEP) in reflexive Banach spaces. A system of auxiliary mixed equilibrium problems (SAMEP) for solving the SGMEP is introduced and the existence and uniqueness of the solutions of the SAMEP is first proved. Next, by using the auxiliary principle technique, a new iterative algorithm to compute the approximate solutions of the SGMEP is suggested and analyzed. Finally, the strong convergence of the iterative sequences generated by the algorithm is also proved under quite mild conditions. These results improve, unify and generalize some known results in recent literature.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xie Ping Ding,