Common fixed-point results in uniformly convex Banach spaces
We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping s...
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th-cmuir.6653943832-429252017-09-28T06:42:44Z Common fixed-point results in uniformly convex Banach spaces Akkasriworn N. Kaewkhao A. Keawkhao A. Sokhuma K. We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping satisfying condition (K) and a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0, 1). © 2012 Akkasriworn et al.; licensee Springer. 2017-09-28T06:42:44Z 2017-09-28T06:42:44Z 2012-01-01 Journal 16871820 2-s2.0-84896278387 10.1186/1687-1812-2012-171 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896278387&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42925 |
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We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping satisfying condition (K) and a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0, 1). © 2012 Akkasriworn et al.; licensee Springer. |
| format |
Journal |
| author |
Akkasriworn N. Kaewkhao A. Keawkhao A. Sokhuma K. |
| spellingShingle |
Akkasriworn N. Kaewkhao A. Keawkhao A. Sokhuma K. Common fixed-point results in uniformly convex Banach spaces |
| author_facet |
Akkasriworn N. Kaewkhao A. Keawkhao A. Sokhuma K. |
| author_sort |
Akkasriworn N. |
| title |
Common fixed-point results in uniformly convex Banach spaces |
| title_short |
Common fixed-point results in uniformly convex Banach spaces |
| title_full |
Common fixed-point results in uniformly convex Banach spaces |
| title_fullStr |
Common fixed-point results in uniformly convex Banach spaces |
| title_full_unstemmed |
Common fixed-point results in uniformly convex Banach spaces |
| title_sort |
common fixed-point results in uniformly convex banach spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896278387&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42925 |
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1681422281823223808 |