Best proximity pair theorems for relatively nonexpansive mappings

Best proximity pair theorems for relatively nonexpansive mappings

Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation Tx = x does not possess a solution when A ∩ B = Ø. In such a situation it is natural...

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Bibliographic Details
Main Authors: V. Sankar Raj, P. Veeramani
Format: Article
Language:English
Published: Universitat Politècnica de València 2009-04-01
Series:Applied General Topology
Subjects:
Best proximity pair
Relatively nonexpansive map
Cyclic contraction map
Strictly convex space
Uniformly convex Banach space
Fixed point
Metric projection
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1784

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http://polipapers.upv.es/index.php/AGT/article/view/1784

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