Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization

A. E. Al-Mazrooei, A. Latif and J. C. Yao

Abstract and Applied Analysis, 2014, vol. 2014, 1-26

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:587865

DOI: 10.1155/2014/587865

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