A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities
2011 ◽
Vol 2011
◽
pp. 1-25
◽
Keyword(s):
We introduce a new general iterative method for finding a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solution of generalized mixed equilibrium problems, and the set of solutions of the variational inclusion for aβ-inverse-strongly monotone mapping in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above three sets under some mild conditions. Our results improve and extend the corresponding results of Marino and Xu (2006), Su et al. (2008), Klin-eam and Suantai (2009), Tan and Chang (2011), and some other authors.
2011 ◽
Vol 2011
◽
pp. 1-22
2011 ◽
Vol 2011
◽
pp. 1-16
◽
2008 ◽
Vol 2008
◽
pp. 1-16
◽
2011 ◽
Vol 2011
◽
pp. 1-25
◽