Strong and weak convergence of Ishikawa iterations for best proximity pairs

Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B. A best proximity pair for such a mapping T is a point (p, q) ∈ A × B such that p = T...

Full description

Bibliographic Details
Main Authors: Gabeleh Moosa, Manna S. I. Ezhil, Eldred A. Anthony, Otafudu Olivier Olela
Format: Article
Language:English
Published: De Gruyter 2020-02-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0002