Convergence to common fixed points for a finite family of strictly asymptotically pseudo-contractive mappings in the intermediate sense. (English) Zbl 1261.47087
Summary: We establish a weak convergence theorem for an explicit iteration process for a finite family of asymptotically \(k\)-strictly pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian in the framework of Hilbert spaces. We also construct a (CQ) method for this explicit iteration process which generates a strongly convergent sequence.
MSC:
47J25 | Iterative procedures involving nonlinear operators |
47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
47H10 | Fixed-point theorems |