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On some Banach space properties sufficient for normal structure

Dinarvand Mina (K.N. Toosi University of Technology, Faculty of Mathematics, Tehran, Iran)

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.

Keywords: normal structure, generalized James constant, generalized von Neumann-Jordan constant, generalized Zbăganu constant, Ptolemy constant, Domínguez-Benavides’ coefficient