TY - JOUR A2 - Judice, J. J. AU - Huang, Lingling AU - Liu, Sanyang AU - Gao, Weifeng PY - 2011 DA - 2011/12/29 TI - An Approximate Proximal Point Algorithm for Maximal Monotone Inclusion Problems SP - 262073 VL - 2011 AB - This paper presents and analyzes a strongly convergent approximate proximal point algorithm for finding zeros of maximal monotone operators in Hilbert spaces. The proposed method combines the proximal subproblem with a more general correction step which takes advantage of more information on the existing iterations. As applications, convex programming problems and generalized variational inequalities are considered. Some preliminary computational results are reported. SN - 1024-123X UR - https://doi.org/10.1155/2011/262073 DO - 10.1155/2011/262073 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -