Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
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. EKB Journal Management System, 21(1), 44-51. doi: 10.1016/j.joems.2012.10.009
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". EKB Journal Management System, 21, 1, 2013, 44-51. doi: 10.1016/j.joems.2012.10.009
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', EKB Journal Management System, 21(1), pp. 44-51. doi: 10.1016/j.joems.2012.10.009
Kazmi, K., Rizvi, S. Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem. EKB Journal Management System, 2013; 21(1): 44-51. doi: 10.1016/j.joems.2012.10.009

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, Page 44-51  XML PDF (362.91 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2012.10.009
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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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