On Some Banach Space Properties Sufficient for Normal Structure

Abstract

In this paper, we present some sufficient conditions for which a Banach space has normal structure and therefore the fixed point property for nonexpansive mappings in terms of the generalized James, von Neumann-Jordan, Zbăganu constants, the Ptolemy constant and the Domínguez-Benavides coefficient. Our main results extend and improve some known results in the recent literature.