Author:
Chen Jia-wei,Je Cho Yeol,Wan Zhongping
Abstract
Abstract
Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied. Under some suitable assumptions, strong and weak convergence results of the shrinking projection algorithms are established, respectively. Finally, we give an example to illustrate the algorithms proposed in this paper.
2000 Mathematics Subject Classification: 47H09; 65J15; 90C99.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference21 articles.
1. Blum E, Oettli W: From optimization and variational inequalities to equilibrium problems. Mathe Stud 1994, 63: 123–145.
2. Ceng LC, Mastronei G, Yao JC: Hybrid proximal-point methods for common solutions of equilibrium problems and zeros of maximal monotone operators. J Optim Theory Appl 2009, 142: 431–449. 10.1007/s10957-009-9538-z
3. Cho YJ, Argyros IK, Petrot N: Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. Comput Math Appl 2010, 50: 2292–2301.
4. Cho YJ, Qin X, Kang JI: Convergence theorems based on hybrid methods for generalized equilibrium problems and fixed point problems. Nonlinear Anal (TMA) 2009, 71: 4203–4214. 10.1016/j.na.2009.02.106
5. Combettes PL, Hirstoaga SA: Equilibrium programming in Hilbert spaces. J Nonlinear Convex Anal 2005, 6: 117–136.
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献