Open AccessIterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
Author(s) -
Kaleem Raza Kazmi,
Shuja Haider Rizvi
Publication year - 2013
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2012.10.009
Subject(s) - variational inequality , mathematics , fixed point , hilbert space , iterative method , scheme (mathematics) , mathematical optimization , point (geometry) , mathematical analysis , geometry
In this paper, we introduce an iterative method to approximate a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the sequences generated by the iterative scheme converge strongly to a common solution of the split equilibrium problem, the variational inequality problem and the fixed point problem for a nonexpansive mapping. The results presented in this paper extend and generalize many previously known results in this research area