Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
By Kaleem Raza Kazmi, S. H. Rizvi. 2013
124 citations recorded by the source corpus.
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.
Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e3447b108a2abe2b66726410d9e6e473ade32ea6
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In Computational Theory and Mathematics
In Geometry and Topology
In Numerical Analysis
Citations in the corpus
- Parallel Extragradient-Proximal Methods for Split Equilibrium Problems (2015, background): “Motivated and inspired by the recent works [7, 9, 13, 19, 20] and the results above, we consider SIP (1.”