Fixed Point for Asymptotically Non-Expansive Mappings in 2-Banach Space

Abstract

In this paper, we introduced some fact in 2-Banach space. Also, we define asymptotically non-expansive mappings in the setting of 2-normed spaces analogous to asymptotically non-expansive mappings in usual normed spaces. And then prove the existence of fixed points for this type of mappings in 2-Banach spaces.

Keywords

• 2-Banach space, Non-expansive mapping, Asymptotically non-expansive mapping, Fixed point.