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.
Citation
A. E. Al-Mazrooei. A. Latif. J. C. Yao. "Solving Generalized Mixed Equilibria, Variational Inequalities, and Constrained Convex Minimization." Abstr. Appl. Anal. 2014 (SI05) 1 - 26, 2014. https://doi.org/10.1155/2014/587865