AN ITERATIVE ALGORITHM FOR GENERALISED MIXED EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND OPTIMISATION PROBLEMS
Tóm tắt
In this paper, we consider a general composite iterative algorithm for finding a common element of the set of solutions of a generalised mixed equilibrium problem, the set of fixed points of an infinite family of non-expansive mappings and the set of solutions of a variational inequality problem for an inverse-strongly monotone mapping in Hilbert spaces. It is shown that the sequence generated by the proposed iterative scheme converges strongly to a common element of the above three sets under suitable control conditions, which solves a certain optimisation problem. The results of this article substantially improve, develop, and complement the previous well-known results in this area.
Từ khóa
DOI: http://dx.doi.org/10.37569/DalatUniversity.2.2.201(2012)
Các bài báo tham chiếu
- Hiện tại không có bài báo tham chiếu.
Copyright (c) 2012 Jong Soo Jung

Công trình này được cấp phép theo Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.