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...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2020-02-01
|
Series: | Open Mathematics |
Subjects: | |
Online Access: | https://doi.org/10.1515/math-2020-0002 |