Chamnarnpan Tanom, Wairojjana Nopparat, Kumam Poom
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140 Thailand.
Springerplus. 2013 Oct 17;2:540. doi: 10.1186/2193-1801-2-540. eCollection 2013.
In this paper, we introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of strictly pseudo-contractive mappings in a real Hilbert space which is also a solution of variational inequality problem related to quadratic minimization problems. Our results extend ones of Yao et al. [Math. and Comput. Modell. 52(9-10):1697-1705, 2010], Gu et al. [J. Appl. Math. 2011:17 p., 2011] and some authors.
在本文中，我们引入了一种新的迭代格式，它在实希尔伯特空间中强收敛到一族可数严格伪压缩映射的公共不动点，该公共不动点也是与二次最小化问题相关的变分不等式问题的解。我们的结果推广了姚等人[《数学与计算机模拟》52(9 - 10):1697 - 1705, 2010]、顾等人[《应用数学杂志》2011:17页, 2011]以及其他一些作者的结果。
