Title of article :
Banach ultrapowers and multivalued nonexpansive
mappings
Author/Authors :
Andrzej Wi´snicki، نويسنده , , Jacek Wo´sko، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Abstract :
The Banach ultrapower construction is applied in fixed point theory for multivalued mappings. We introduce
the notion of ultra-asymptotic centers and use it to remove the separability assumption from the results
of Domínguez Benavides, Lorenzo Ramírez (2004) and Dhompongsa, Kaewcharoen, Kaewkhao (2006).
© 2006 Elsevier Inc. All rights reserved
Keywords :
Metric fixed point theory , Nonexpansive mapping , Set-valued mapping , Measure of noncompactness , Condensing operator , Banach ultrapower
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
