Hybrid Proximal-Point Methods for Zeros of Maximal Monotone Operators, Variational Inequalities and Mixed Equilibrium Problems

We prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point of a maximal monotone operator, the set of solutions of equilibrium problems, and the Bronze set of solution of the variational inequality operators of an inverse strongly monotone in a Banach space under different conditions.Moreover, applications to complementarity problems are P32 given.Our results modify and improve the recently announced ones by Li and Song (2008) and many authors.