Quasi-nonexpansive mappings with respect to orbits in Banach spaces and weak fixed point property

Author(s):

K. Fallahi* , H. Ardakani , F. Norouzi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In the present work, we introduce quasi-nonexpansive mappings with respect to orbits on the Banach space. Then we show that a Banach space $\mathcal{A}$ has weak normal structure if and only if $\mathcal{A}$ has the weak fixed point property for quasi-nonexpansive mappings with respect to orbits.

Keywords:

Fixed Point Property , Normal Structure , Nonexpansive Mappings

Language:
English
Published:
Journal of Linear and Topological Algebra, Volume:13 Issue: 3, Summer 2024
Pages:
163 to 167
https://www.magiran.com/p2823622