Document Type : Research Paper

Author

• Mina Dinarvand

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

Abstract

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.

Keywords

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