DOI: 10.24193/fpt-ro.2025.1.18

Authors: Dau Hong Quan

Abstract: In this work, we introduce the UUUC property and the p-UUC property for hyperbolic metric spaces. These uniform convexity properties are more adequate than metric uniform convexities and norm uniform convexities in studying the fixed point problems for monotone nonexpansive mappings. As an application of these properties we prove a fixed point theorem for monotone G-nonexpansive multivalued mappings.

Key Words and Phrases: Uniformly convex metric space, uniform convexity, fixed point, monotone G-nonexpansive multivalued mapping.

2010 Mathematics Subject Classification: 46B20, 47H05, 47H07, 47H09.

Published on-line: February 1st, 2025.

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