Title of article :
Convergence Theorems on an Iterative Method for Variational Inequality Problems and Fixed Point Problems
Author/Authors :
QIN, XIAOLONG North China University of Water Conservancy and Hydroelectric Power - Department of Mathematics, China , KANG, SHIN MIN Gyeongsang National University - Department of Mathematics and the RINS, Korea
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-contrac- tions and of the set of solutions of variational inequalities with inverse-strongly monotone mappings. Strong convergence theorems are established in the frame- work of Hilbert spaces.
Keywords :
Nonexpansive mapping , inverse , strongly monotone mapping , xed point , variational inequality , strict pseudo , contraction
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society