General iterative methods for generalized equilibrium problems and fixed point problems of k-strict pseudo-contractions
College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China
Fixed Point Theory and Applications 2012, 2012:125 doi:10.1186/1687-1812-2012-125Published: 27 July 2012
In this paper, we modify the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of k-strictly pseudo-contractive nonself mappings. Strong convergence theorems are established under some suitable conditions in a real Hilbert space, which also solves some variation inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors.
MSC: 47H05, 47H09, 47H10.