HYBRID PROXIMAL-POINT METHODS FOR ZEROS OF MAXIMAL MONOTONE OPERATORS, VARIATIONAL INEQUALITIES AND MIXED EQUILIBRIUM PROBLEMS

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

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

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We prove strong and weak convergence theorems of modified hybrid proximal-point algorithms for finding a common element of the zero point swordback hold d2 of a maximal monotone operator, the set of solutions of equilibrium problems, and the 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 given.Our results zuca pro artist modify and improve the recently announced ones by Li and Song (2008) and many authors.

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