A New Hybrid Extragradient Iterative Method for Approximating the Common Solutions of a System of Variational Inequalities, a Mixed Equilibrium Problem, and a Hierarchical Fixed Point Problem
We suggest and analyze an iterative scheme for finding the approximate element of the common set of solutions of a system of variational inequalities, a mixed equilibrium problem, and a hierarchical fixed point problem in a real Hilbert space. Strong convergence of the proposed method is proved unde...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/737590 |
| Summary: | We suggest and analyze an iterative scheme for finding
the approximate element of the common set of solutions of a system of variational
inequalities, a mixed equilibrium problem, and a hierarchical fixed point problem in a
real Hilbert space. Strong convergence of the proposed method is proved under some
conditions. The results presented in this paper extend and improve some well-known
results in the literature. |
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| ISSN: | 1085-3375 1687-0409 |