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A new Hybrid Projection Algorithm for Solving the Split Generalized Equilibrium Problems and the System of Variational Inequality Problems

  • Jitsupa Deepho
  • Wiyada KumamEmail author
  • Poom Kumam
Article

Abstract

In this paper, we introduced modified Mann iterative algorithms by the new hybrid projection method for finding a common element of the set of fixed points of a countable family of nonexpansive mappings, the set of the split generalized equilibrium problem and the set of solutions of the general system of the variational inequality problem for two-inverse strongly monotone mappings in real Hilbert spaces. The strong convergence theorem of the iterative algorithm in Hilbert spaces under certain mild conditions are provided.

Keywords

Split generalized equilibrium problem Nonexpansive mapping Inverse-strongly monotone mapping General system of the variational inequality problem 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of MathematicsFaculty of Science King Mongkut’s University of Technology Thonburi (KMUTT)BangkokThailand
  2. 2.Department of Mathematics and Computer Science Faculty of Science and TechnologyRajamangala University of Technology Thanyaburi (RMUTT)PathumthaniThailand
  3. 3.Department of MathematicsFaculty of ScienceKing Mongkut’s University of Technology Thonburi (KMUTT)BangkokThailand

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