Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice
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 whic...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2014
|
| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-68349095157&partnerID=40&md5=5d31228293af3cdb41e2bbeec423a586 http://cmuir.cmu.ac.th/handle/6653943832/5736 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Chiang Mai University |
| Language: | English |
| id |
th-cmuir.6653943832-5736 |
|---|---|
| record_format |
dspace |
| spelling |
th-cmuir.6653943832-57362014-08-30T03:23:24Z Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice Dhompongsa S. Kaewcharoen A. 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 w-weakly orthogonal OUNC Banach lattice. © 2009 Elsevier Ltd. All rights reserved. 2014-08-30T03:23:24Z 2014-08-30T03:23:24Z 2009 Article 0362546X 10.1016/j.na.2009.04.022 NOAND http://www.scopus.com/inward/record.url?eid=2-s2.0-68349095157&partnerID=40&md5=5d31228293af3cdb41e2bbeec423a586 http://cmuir.cmu.ac.th/handle/6653943832/5736 English |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| country |
Thailand |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
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 w-weakly orthogonal OUNC Banach lattice. © 2009 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Dhompongsa S. Kaewcharoen A. |
| spellingShingle |
Dhompongsa S. Kaewcharoen A. Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| author_facet |
Dhompongsa S. Kaewcharoen A. |
| author_sort |
Dhompongsa S. |
| title |
Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| title_short |
Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| title_full |
Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| title_fullStr |
Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| title_full_unstemmed |
Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| title_sort |
fixed point theorems for nonexpansive mappings and suzuki-generalized nonexpansive mappings on a banach lattice |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-68349095157&partnerID=40&md5=5d31228293af3cdb41e2bbeec423a586 http://cmuir.cmu.ac.th/handle/6653943832/5736 |
| _version_ |
1681420481830322176 |