Title of article
Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings
Author/Authors
B. Gavira، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
11
From page
680
To page
690
Abstract
We show some geometric conditions on a Banach space X concerning the modulus of smoothness, the coefficient of weak
orthogonality, the coefficient R(a,X), the James constant and the Jordan–von Neumann constant, which imply the existence of
fixed points for multivalued nonexpansivemappings. These fixed point theorems improve some previous results and give affirmative
answers to some open questions.
© 2007 Elsevier Inc. All rights reserved.
Keywords
Modulus of smoothness , Coefficient of weak orthogonality , Jamesconstant , Multivalued nonexpansive mapping , Normal structure , fixed point , Jordan–von Neumann constant
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
936653
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