Hybrid Steepest-Descent Methods for Solving Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

作者：He Songnian^*; Liang Xiao Lan

来源：Fixed Point Theory and Applications, 2010, 2010(1): 673932.

DOI：10.1155/2010/673932

Let H be a real Hilbert space and let F : H -> H be a boundedly Lipschitzian and strongly monotone operator. We design three hybrid steepest descent algorithms for solving variational inequality VI(C, F) of finding a point x* is an element of C such that < Fx*, x - x*> >= 0, for all x is an element of C, where C is the set of fixed points of a strict pseudocontraction, or the set of common fixed points of finite strict pseudocontractions. Strong convergence of the algorithms is proved.

• 出版日期2010
• 单位中国民航大学