Banach space properties sufficient for the Domínguez-Lorenzo condition. (English) Zbl 1424.46016
Summary: In this paper, we consider some geometric properties on Banach spaces concerning the García-Falset coefficient and the von Neumann-Jordan type constant, which imply the Domínguez-Lorenzo condition and thus the existence of fixed points for multivalued nonexpansive mappings. The obtained results generalize some previous results in the recent literature. We also show that our results are sharp.