[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j160068

U-FLATNESS AND NON-EXPANSIVE MAPPINGS IN BANACH SPACES

Gao, Ji (Department of Mathematics Community College of Philadelphia)
Saejung, Satit (Department of Mathematics Faculty of Science Khon Kaen University)

Publication Information

Journal of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 493-506 More about this Journal

Abstract

In this paper, we define the modulus of n-dimensional U-flatness as the determinant of an $(n+1){\times}(n+1)$ matrix. The properties of the modulus are investigated and the relationships between this modulus and other geometric parameters of Banach spaces are studied. Some results on fixed point theory for non-expansive mappings and normal structure in Banach spaces are obtained.

Keywords

fixed point property; matrices; modulus of n-dimensional uniform flatness; modulus of n-dimensional U-flatness; non-expansive mapping; normal structure;

Citations & Related Records

Reference

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