A General Iterative Algorithm for Generalized Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

نویسندگان

  • Thanyarat Jitpeera
  • Poom Kumam
چکیده

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 a β-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.

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2011  شماره 

صفحات  -

تاریخ انتشار 2011