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...
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th-cmuir.6653943832-597252018-09-10T03:20:30Z Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice S. Dhompongsa A. Kaewcharoen Mathematics 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. 2018-09-10T03:20:30Z 2018-09-10T03:20:30Z 2009-12-01 Journal 0362546X 2-s2.0-68349095157 10.1016/j.na.2009.04.022 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=68349095157&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59725 |
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Mathematics S. Dhompongsa A. Kaewcharoen Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice |
| 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 |
Journal |
| author |
S. Dhompongsa A. Kaewcharoen |
| author_facet |
S. Dhompongsa A. Kaewcharoen |
| author_sort |
S. Dhompongsa |
| 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 |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=68349095157&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/59725 |
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