solving generalized mixed equilibria, variational inequalities, and constrained convex minimization
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ID: 158115
2014
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Abstract
We propose implicit and explicit iterative algorithms for finding a common element of the set of solutions of the minimization problem for a convex and continuously Fréchet differentiable functional, the set of solutions of a finite family of generalized mixed equilibrium problems, and the set of solutions of a finite family of variational inequalities for inverse strong monotone mappings in a real Hilbert space. We prove that the sequences generated by the proposed algorithms converge strongly to a common element of three sets, which is the unique solution of a variational inequality defined over the intersection of three sets under very mild conditions.
| Reference Key |
al-mazrooei2014abstractsolving
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| Authors | ;A. E. Al-Mazrooei;A. Latif;J. C. Yao |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/587865
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