On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces

الملخص EN

In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities.

We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.