Fixed points of α-nonexpansive mappings

• Authors: Krzysztof Wesołowski
• Languages of publication: PL

Abstracts

PL

This paper is connected with the theory of a-nonexpansive mappings, which were introduced by K. Goebel and M. A. J. Pineda in 2007. These mappings are a natural generalisation of nonexpansive mappings from the point of view of the fixed point theory. In particular, they proved that in Banach spaces all α = (α1,..., αn) -nonexpansive mappings with α1 big enough, namely α1≥2 (1/1-n), have minimal displacement equal to zero. This paper introduces some new results connected with this problem.

Keywords

PL

α-nonexpansive mappings, minimal displacement, fixed point

• Publisher: [unknown2]
• Journal: Czasopismo Techniczne
• Year: -

Dates

online

2016-02-17

Contributors

author

Krzysztof Wesołowski