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 | ||
| Volume 21, Issue 1, April 2013, Pages 44-51 PDF (362.91 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2012.10.009 | ||
| Authors | ||
| K.R. Kazmi* ; S.H. Rizvi | ||
| Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Split equilibrium problem; Variational inequality problem; Fixed-point problem; Nonexpansive mapping; Inverse-strongly monotone mapping | ||
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