title: On synchronal algorithm for fixed point and variational inequality problems in hilbert spaces.
abstract: The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi:10.1186/1687-1812-21) to the class of [Formula: see text]-total asymptotically strict pseudocontraction to solve the fixed point problem as well as variational inequality problem in the frame work of Hilbert space. Further, the results presented in this paper extend, improve and also generalize several known results in the literature .
authors.affiliation: Department of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: L M
authors.initials: LM
authors.lastname: Bulama
authors.affiliation: Department of Mathematics, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: A
authors.initials: A
authors.lastname: Kılıçman
keywords: Fixed point and variational inequality problem; K-strict pseudo-contraction; Nonexpansive mapping; Synchronal algorithm; Total strict asymptotically pseudocontraction