Volume 33 • Number 1 • 2010   • Convergence Theorems on an Iterative Method for Variational Inequality Problems and Fixed Point Problems Xiaolong Qin and Shin Min Kang Abstract. In this paper, we propose an explicit viscosity approximation method for finding a common element of the set of fixed points of strict pseudo-contractions and of the set of solutions of variational inequalities with inverse-strongly monotone mappings. Strong convergence theorems are established in the framework of Hilbert spaces. 2000 Mathematics Subject Classification: 47H05, 47H09, 47J25. Full text: PDF