A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space
Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in linear spaces. Here, a coupled + pair iterative s...
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MDPI AG
2020-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/10/1717 |
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doaj-a9ee44d2009c4cabaf79255f42da1ca72020-11-25T03:50:53ZengMDPI AGMathematics2227-73902020-10-0181717171710.3390/math8101717A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert SpaceKyung Soo Kim0Graduate School of Education, Mathematics Education, Kyungnam University, Changwon 51767, KoreaCoupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in linear spaces. Here, a coupled + pair iterative scheme is defined and is applied to the problem of finding common coupled fixed points of certain mappings. The discussion of the paper is in the context of Hilbert spaces.https://www.mdpi.com/2227-7390/8/10/1717common coupled fixed pointCondition ACondition Bcoupled Mann pair iterative schemeconvergeHilbert space |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kyung Soo Kim |
| spellingShingle |
Kyung Soo Kim A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space Mathematics common coupled fixed point Condition A Condition B coupled Mann pair iterative scheme converge Hilbert space |
| author_facet |
Kyung Soo Kim |
| author_sort |
Kyung Soo Kim |
| title |
A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space |
| title_short |
A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space |
| title_full |
A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space |
| title_fullStr |
A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space |
| title_full_unstemmed |
A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space |
| title_sort |
constructive scheme for a common coupled fixed point problems in hilbert space |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2020-10-01 |
| description |
Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in linear spaces. Here, a coupled + pair iterative scheme is defined and is applied to the problem of finding common coupled fixed points of certain mappings. The discussion of the paper is in the context of Hilbert spaces. |
| topic |
common coupled fixed point Condition A Condition B coupled Mann pair iterative scheme converge Hilbert space |
| url |
https://www.mdpi.com/2227-7390/8/10/1717 |
| work_keys_str_mv |
AT kyungsookim aconstructiveschemeforacommoncoupledfixedpointproblemsinhilbertspace AT kyungsookim constructiveschemeforacommoncoupledfixedpointproblemsinhilbertspace |
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