Abstract
We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir‐Keeler‐type contraction in a Banach space. Then we prove the strong convergence for the implicit and explicit iterative schemes. Our results extend and improve some recent ones in literatures.
Highlights
We introduce an implicit and explicit iterative schemes for a finite family of nonexpansive semigroups with the Meir-Keeler-type contraction in a Banach space
Let C be a nonempty subset of a Banach space E and T : C → C be a mapping
We denote by Fix T the set of all common fixed points of semigroup T, that is, Fix T {x ∈ C : T t x x, 0 ≤ t < ∞} and N by the set of natural numbers
Summary
Let C be a nonempty subset of a Banach space E and T : C → C be a mapping. We call T nonexpansive if T x − T y ≤ x − y for all x, y ∈ E.
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