The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces

نویسندگان
Dinarvand, Mina ID 1

1 Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran

doi
10.22075/ijnaa.2017.2348
چکیده

Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in the recent literature.

کلیدواژه‌ها
James type constant, von Neumann-Jordan type constant, Ptolemy constant, Fixed point property, Uniform normal structure