TY - JOUR
T1 - Implicit and explicit iterative methods for systems of variational inequalities and zeros of accretive operators
AU - Ceng, Lu Chuan
AU - Al-Mezel, Saleh Abdullah
AU - Ansari, Qamrul Hasan
PY - 2013
Y1 - 2013
N2 - Based on Korpelevich's extragradient method, hybrid steepest-descent method, and viscosity approximation method, we propose implicit and explicit iterative schemes for computing a common element of the solution set of a system of variational inequalities and the set of zeros of an accretive operator, which is also a unique solution of a variational inequality. Under suitable assumptions, we study the strong convergence of the sequences generated by the proposed algorithms. The results of this paper improve and extend several known results in the literature.
AB - Based on Korpelevich's extragradient method, hybrid steepest-descent method, and viscosity approximation method, we propose implicit and explicit iterative schemes for computing a common element of the solution set of a system of variational inequalities and the set of zeros of an accretive operator, which is also a unique solution of a variational inequality. Under suitable assumptions, we study the strong convergence of the sequences generated by the proposed algorithms. The results of this paper improve and extend several known results in the literature.
UR - https://www.scopus.com/pages/publications/84893717881
U2 - 10.1155/2013/631382
DO - 10.1155/2013/631382
M3 - Article
AN - SCOPUS:84893717881
SN - 1085-3375
VL - 2013
JO - Abstract and Applied Analysis
JF - Abstract and Applied Analysis
M1 - 631382
ER -