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Bregman projections for zero points and generalized equilibrium problems. (English) Zbl 1511.47082

Summary: The purpose of this article is to study a Bregman projection process for solving zero points of a maximal monotone operator and solutions of a generalized equilibrium problem. This is a strong convergence iterative process. We obtain a common solution theorem in the framework of reflexive Banach spaces.

MSC:

47J25 Iterative procedures involving nonlinear operators
47H05 Monotone operators and generalizations