Iterative approximation of a common solution of a split equilibrium problem,a variational inequality problem and a fixed point problem |
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Authors: | KR Kazmi SH Rizvi |
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Institution: | Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India |
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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. |
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