ScholarLens Back to search
2011•Collectanea mathematicaOpen access

The structure of fixed-point sets of uniformly lipschitzian semigroups

Jarosław Górnicki

Open full text 2 citations

Abstract

In this paper, by asymptotic center techniques, we shown that the set of fixed points of a uniformly k -lipschitzian semigroup (one-parameter or left reversible semi-topological) in a uniformly convex Banach space is a retract of the domain if k is close to 1. The results presented in this paper includes (among others, in the discrete situation) many known results as special cases.

Open-access reader

About this research paper

What this paper is about

In this paper, by asymptotic center techniques, we shown that the set of fixed points of a uniformly k -lipschitzian semigroup (one-parameter or left reversible semi-topological) in a uniformly convex Banach space is a retract of the domain if k is close to 1. The results presented in this paper includes (among others, in the discrete situation) many known results as special cases.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, by asymptotic center techniques, we shown that the set of fixed points of a uniformly k -lipschitzian semigroup (one-parameter or left reversible semi-topological) in a uniformly convex Banach space is a retract of the domain if k is close to 1. The results presented in this paper includes (among others, in the discrete situation) many known results as special cases.

Key concepts: Mathematics, Retract, Fixed point, Banach space, Semigroup, Regular polygon, Uniformly convex space, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The structure of fixed-point sets of uniformly lipschitzian semigroups — Research Paper | ScholarLens