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A best proximity point theorem for weakly contractive non-self-mappings

✍ Scribed by V. Sankar Raj


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
205 KB
Volume
74
Category
Article
ISSN
0362-546X

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Let D be a closed nonempty subset of a Banach space X and T : D Βͺ X Γ„ 4 2 \_ a multivalued contraction with closed values, i.e., each Tx is a nonempty closed subset of X and there exists 0 F k -1 such that 5 5 H Tx, Ty F k x y y , x, y g D, ## Ε½ . where H denotes the Hausdorff metric H A, B s ma