TY - JOUR AU - Ceng, Lu-Chuan AU - Wen, Ching-Feng PY - 2017 TI - Generalized mixed equilibria, variational inequalities and constrained convex minimization JO - Journal of Nonlinear Sciences and Applications SP - 789--804 VL - 10 IS - 2 AB - In this paper, we introduce one multistep relaxed implicit extragradient-like scheme and another multistep relaxed explicit extragradient-like scheme 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 strongly monotone mappings in a real Hilbert space. Under suitable control conditions, we establish the strong convergence of these two multistep relaxed extragradient-like schemes to the same common element of the above three sets, which is also the unique solution of a variational inequality defined over the intersection of the above three sets. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.010.02.39 DO - 10.22436/jnsa.010.02.39 ID - Ceng2017 ER - TY - JOUR TI - On general system of variational inequalities in Banach spaces AU - A. E. Al-Mazrooei AU - B. A. Bin Dehaish AU - A. Latif AU - J.-C. Yao JO - J. Nonlinear Convex Anal. PY - 2015 DA - 2015// VL - 16 ID - Al-Mazrooei2015 ER - TY - JOUR TI - Composite viscosity iterative methods for general systems of variational inequalities and fixed point problem in Hilbert spaces AU - A. S. M. Alofi AU - A. Latif AU - A. E. Al-Mazrooei AU - J.-C. Yao JO - J. Nonlinear Convex Anal. 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