title: Hierarchical fixed points of strictly pseudo contractive mappings for variational inequality problems.
abstract: 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.
authors.affiliation: 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.
authors.forename: Tanom
authors.initials: T
authors.lastname: Chamnarnpan
authors.forename: Nopparat
authors.initials: N
authors.lastname: Wairojjana
authors.forename: Poom
authors.initials: P
authors.lastname: Kumam
keywords: Hierarchical fixed point problem; Hilbert spaces; Strictly pseudo-contractive mapping; Strong convergence; Variational inequality