Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function

Naseer Shahzad, Habtu Zegeye, Abdullah M. Alotaibi · Fixed Point Theory and Applications · 2013

In this paper, we introduce an iterative process which converges strongly to a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function. Our convergence theorem is applied to the convex minimization problem. Our theorems extend and unify most of the results that have been proved for the class of monotone mappings. MSC: 47H05, 47J05, 47J25.

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