| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842452 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 10 Pages |
Abstract
We prove the existence of fixed points for multivalued nonexpansive nonself-mappings on a weakly orthogonal reflexive Banach lattice with uniformly monotone norm. Moreover, for single-valued mappings, we extend Betiuk-Pilarska and Prus’s result [A. Betiuk-Pilarska, S. Prus, Banach lattices which are order uniformly noncreasy, J. Math. Anal. Appl. 342 (2008) 1271–1279] on the weak fixed point property to continuous mappings satisfying condition (C) on a ww-weakly orthogonal OUNC Banach lattice.
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Authors
S. Dhompongsa, A. Kaewcharoen,