Common fixed points of an iterative method for Berinde nonexpansive mappings
© 2018 by the Mathematical Association of Thailand. All rights reserved. A mapping T form a nonempty closed convex subset C of a uniformly Banach space into itself is called a Berinde nonexpansive mapping if there is L ≥ 0 such that ǁTx – Tyǁ ≤ ǁx – yǁ + Lǁy – Txǁ for any x; y ∈ C. In this paper, we...
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2018
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th-cmuir.6653943832-588102018-09-05T04:32:51Z Common fixed points of an iterative method for Berinde nonexpansive mappings Limpapat Bussaban Atichart Kettapun Mathematics © 2018 by the Mathematical Association of Thailand. All rights reserved. A mapping T form a nonempty closed convex subset C of a uniformly Banach space into itself is called a Berinde nonexpansive mapping if there is L ≥ 0 such that ǁTx – Tyǁ ≤ ǁx – yǁ + Lǁy – Txǁ for any x; y ∈ C. In this paper, we prove weak and strong convergence theorems of an iterative method for approximating common fixed points of two Berinde nonexpansive mappings under some suitable control conditions in a Banach space. Moreover, we apply our results to equilibrium problems and fixed point problems in a Hilbert space. 2018-09-05T04:32:51Z 2018-09-05T04:32:51Z 2018-04-01 Journal 16860209 2-s2.0-85046353426 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046353426&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58810 |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
| topic |
Mathematics |
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Mathematics Limpapat Bussaban Atichart Kettapun Common fixed points of an iterative method for Berinde nonexpansive mappings |
| description |
© 2018 by the Mathematical Association of Thailand. All rights reserved. A mapping T form a nonempty closed convex subset C of a uniformly Banach space into itself is called a Berinde nonexpansive mapping if there is L ≥ 0 such that ǁTx – Tyǁ ≤ ǁx – yǁ + Lǁy – Txǁ for any x; y ∈ C. In this paper, we prove weak and strong convergence theorems of an iterative method for approximating common fixed points of two Berinde nonexpansive mappings under some suitable control conditions in a Banach space. Moreover, we apply our results to equilibrium problems and fixed point problems in a Hilbert space. |
| format |
Journal |
| author |
Limpapat Bussaban Atichart Kettapun |
| author_facet |
Limpapat Bussaban Atichart Kettapun |
| author_sort |
Limpapat Bussaban |
| title |
Common fixed points of an iterative method for Berinde nonexpansive mappings |
| title_short |
Common fixed points of an iterative method for Berinde nonexpansive mappings |
| title_full |
Common fixed points of an iterative method for Berinde nonexpansive mappings |
| title_fullStr |
Common fixed points of an iterative method for Berinde nonexpansive mappings |
| title_full_unstemmed |
Common fixed points of an iterative method for Berinde nonexpansive mappings |
| title_sort |
common fixed points of an iterative method for berinde nonexpansive mappings |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85046353426&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58810 |
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1681425134984888320 |