Title of article
Some remarks on measures of noncompactness and retractions onto spheres
Author/Authors
Kim، نويسنده , , In-Sook and Vنth، نويسنده , , Martin، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2007
Pages
14
From page
3056
To page
3069
Abstract
Some ways to obtain upper and lower bounds for measures of noncompactness of retractions onto spheres in infinite-dimensional normed spaces are discussed. Moreover, relations with 0-epi maps are revealed and the extension of condensing maps on spheres is discussed. As an application, some results of Birkhoff–Kellog type and Nussbaumʹs fixed point theorem on spheres are obtained.
Keywords
Retraction onto a sphere , Measure of noncompactness , Birkhoff–Kellog theorem , Nussbaum fixed point theorem , 0-epi maps , Condensing map
Journal title
Topology and its Applications
Serial Year
2007
Journal title
Topology and its Applications
Record number
1581495
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