DOI: 10.24193/fpt-ro.2021.2.57

Authors: Sami Shukri

Abstract: In this work, some geometrical properties of Hilbert spaces are investigated in l_p spaces, for p ≥ 2. As an application, we obtain an extension of the Banach Contraction Principle for best proximity points. The case of nonexpansive mappings is also discussed.

Key Words and Phrases: Best proximity points, fixed points, l_p spaces, P-property, contraction mappings, nonexpansive mappings, uniformly convex, strictly convex reflexive, proximinal sets.

2010 Mathematics Subject Classification: 47H10, 54H25, 47H09, 46B45.

Published on-line: July 1st, 2021.

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