A note on common fixed point results in uniformly convex hyperbolic spaces
© 2013 W. Laowang and B. Panyanak. It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically n...
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th-cmuir.6653943832-527642018-09-04T09:31:50Z A note on common fixed point results in uniformly convex hyperbolic spaces W. Laowang B. Panyanak Mathematics © 2013 W. Laowang and B. Panyanak. It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically nonexpansive mappings in the sense of Kirk and Xu (2008). We also obtain a common fixed point for a commuting pair of a mapping satisfying condition (K) and a multivalued mapping satisfying condition (C ) for some ϵ (0,1). Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others. 2018-09-04T09:31:50Z 2018-09-04T09:31:50Z 2013-01-01 Journal 23144785 23144629 2-s2.0-84938377775 10.1155/2013/503731 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84938377775&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52764 |
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Mathematics |
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Mathematics W. Laowang B. Panyanak A note on common fixed point results in uniformly convex hyperbolic spaces |
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© 2013 W. Laowang and B. Panyanak. It is shown that the notion of mappings satisfying condition (K) introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically nonexpansive mappings in the sense of Kirk and Xu (2008). We also obtain a common fixed point for a commuting pair of a mapping satisfying condition (K) and a multivalued mapping satisfying condition (C ) for some ϵ (0,1). Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others. |
| format |
Journal |
| author |
W. Laowang B. Panyanak |
| author_facet |
W. Laowang B. Panyanak |
| author_sort |
W. Laowang |
| title |
A note on common fixed point results in uniformly convex hyperbolic spaces |
| title_short |
A note on common fixed point results in uniformly convex hyperbolic spaces |
| title_full |
A note on common fixed point results in uniformly convex hyperbolic spaces |
| title_fullStr |
A note on common fixed point results in uniformly convex hyperbolic spaces |
| title_full_unstemmed |
A note on common fixed point results in uniformly convex hyperbolic spaces |
| title_sort |
note on common fixed point results in uniformly convex hyperbolic spaces |
| publishDate |
2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84938377775&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52764 |
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