Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theore...
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th-cmuir.6653943832-527662018-09-04T09:31:52Z Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions Prasit Cholamjiak Yeol Je Cho Suthep Suantai Mathematics In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established. 2018-09-04T09:31:52Z 2018-09-04T09:31:52Z 2013-01-01 Journal 18440835 12241784 2-s2.0-84878464545 10.2478/auom-2013-0011 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52766 |
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Chiang Mai University |
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Mathematics |
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Mathematics Prasit Cholamjiak Yeol Je Cho Suthep Suantai Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| description |
In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established. |
| format |
Journal |
| author |
Prasit Cholamjiak Yeol Je Cho Suthep Suantai |
| author_facet |
Prasit Cholamjiak Yeol Je Cho Suthep Suantai |
| author_sort |
Prasit Cholamjiak |
| title |
Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| title_short |
Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| title_full |
Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| title_fullStr |
Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| title_full_unstemmed |
Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| title_sort |
strong convergence theorems for a sequence of nonexpansive mappings with gauge functions |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878464545&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52766 |
| _version_ |
1681424011059265536 |