Weak convergence of a Mann-like algorithm for nonexpansive and accretive operators. (English) Zbl 1382.47029
Summary: Zero point problems of two accretive operators and fixed point problems of nonexpansive mappings are investigated based on a Mann-like iterative algorithm. Weak convergence theorems are established in a Banach space.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47H06 | Nonlinear accretive operators, dissipative operators, etc. |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
Keywords:
accretive operator; fixed point; nonexpansive mapping; resolvent; zero point problems; Mann-like iterative algorithm; weak convergence; Banach spaceReferences:
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