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.
Kazmi, K., & Rizvi, S. (2013). Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem. Journal of the Egyptian Mathematical Society, 21(1), 44-51. doi: 10.1016/j.joems.2012.10.009
MLA
K.R. Kazmi; S.H. Rizvi. "Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem", Journal of the Egyptian Mathematical Society, 21, 1, 2013, 44-51. doi: 10.1016/j.joems.2012.10.009
HARVARD
Kazmi, K., Rizvi, S. (2013). 'Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem', Journal of the Egyptian Mathematical Society, 21(1), pp. 44-51. doi: 10.1016/j.joems.2012.10.009
VANCOUVER
Kazmi, K., Rizvi, S. Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem. Journal of the Egyptian Mathematical Society, 2013; 21(1): 44-51. doi: 10.1016/j.joems.2012.10.009
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