Convergence analysis of a Mann-like iterative algorithm in reflexive Banach spaces
Applied Set-Valued Analysis and Optimization · 2019
We introduce and analyze viscosity Mann-like iterative algorithms for solving a general system of variational inequalities involving an infinite family of nonexpansive mappings and an m-accretive mapping.It is proved that the sequence generated in the Mann-like iterative algorithm is norm convergent in a real reflexive Banach space with the uniformly Gateaux differentiable norm and the normal structure.