An inertial iterative method for solving split equality problem in Banach spaces

In this paper, a new self-adaptive algorithm with the inertial technique is proposed for solving the split equality problem in $ p $-uniformly convex and uniformly smooth Banach spaces. Under some mild control conditions, a strong convergence theorem for the proposed algorithm is established. Furthe...

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Vydáno v:AIMS mathematics Ročník 7; číslo 10; s. 17628 - 17646
Hlavní autoři: Wang, Meiying, Shi, Luoyi, Guo, Cuijuan
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2022
Témata:
banach space
inertial technique
self-adaptive method
split equality problem
strong convergence
ISSN:2473-6988, 2473-6988
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Abstract In this paper, a new self-adaptive algorithm with the inertial technique is proposed for solving the split equality problem in $ p $-uniformly convex and uniformly smooth Banach spaces. Under some mild control conditions, a strong convergence theorem for the proposed algorithm is established. Furthermore, the results are applied to split equality fixed point problem and split equality variational inclusion problem. Finally, numerical examples are provided to illustrate the convergence behaviour of the algorithm. The main results in this paper improve and generalize some existing results in the literature.
AbstractList In this paper, a new self-adaptive algorithm with the inertial technique is proposed for solving the split equality problem in p-uniformly convex and uniformly smooth Banach spaces. Under some mild control conditions, a strong convergence theorem for the proposed algorithm is established. Furthermore, the results are applied to split equality fixed point problem and split equality variational inclusion problem. Finally, numerical examples are provided to illustrate the convergence behaviour of the algorithm. The main results in this paper improve and generalize some existing results in the literature.
Author Shi, Luoyi
Wang, Meiying
Guo, Cuijuan
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Cites_doi 10.1007/s11075-020-00999-2
10.1186/1687-1812-2014-215
10.1186/s13660-021-02570-6
10.1016/0362-546X(91)90200-K
10.1080/02331934.2014.967237
10.1007/BF02142692
10.1007/978-3-662-35347-9
10.1088/0266-5611/28/8/085004
10.1088/0266-5611/18/2/310
10.1186/1029-242X-2014-478
10.1088/0031-9155/51/10/001
10.1016/j.na.2012.11.013
10.1088/0266-5611/26/5/055007
10.1155/2021/6624509
10.1007/s11075-015-0069-4
10.23952/jnva.5.2021.1.06
10.1007/s11784-019-0684-0
10.1016/0041-5553(64)90137-5
10.1186/s13660-021-02656-1
10.1088/0266-5611/24/5/055008
10.1088/0266-5611/20/1/006
10.1007/s40314-021-01465-y
10.1080/01630563.2013.809360
10.1016/S0252-9602(16)30049-2
10.23952/jnva.5.2021.1.04
10.1515/JIIP.2008.026
10.11948/20190330
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References key-10.3934/math.2022971-3
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key-10.3934/math.2022971-4
key-10.3934/math.2022971-10
key-10.3934/math.2022971-32
key-10.3934/math.2022971-5
key-10.3934/math.2022971-31
key-10.3934/math.2022971-6
key-10.3934/math.2022971-30
key-10.3934/math.2022971-1
key-10.3934/math.2022971-2
key-10.3934/math.2022971-19
key-10.3934/math.2022971-18
key-10.3934/math.2022971-17
key-10.3934/math.2022971-16
key-10.3934/math.2022971-15
key-10.3934/math.2022971-14
key-10.3934/math.2022971-13
key-10.3934/math.2022971-12
key-10.3934/math.2022971-34
key-10.3934/math.2022971-7
key-10.3934/math.2022971-8
key-10.3934/math.2022971-9
key-10.3934/math.2022971-22
key-10.3934/math.2022971-21
key-10.3934/math.2022971-20
key-10.3934/math.2022971-29
key-10.3934/math.2022971-28
key-10.3934/math.2022971-27
key-10.3934/math.2022971-26
key-10.3934/math.2022971-25
key-10.3934/math.2022971-24
key-10.3934/math.2022971-23
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  doi: 10.1007/s11075-020-00999-2
– ident: key-10.3934/math.2022971-8
  doi: 10.1186/1687-1812-2014-215
– ident: key-10.3934/math.2022971-11
– ident: key-10.3934/math.2022971-13
  doi: 10.1186/s13660-021-02570-6
– ident: key-10.3934/math.2022971-32
  doi: 10.1016/0362-546X(91)90200-K
– ident: key-10.3934/math.2022971-29
  doi: 10.1080/02331934.2014.967237
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  doi: 10.1007/BF02142692
– ident: key-10.3934/math.2022971-4
– ident: key-10.3934/math.2022971-14
  doi: 10.1007/978-3-662-35347-9
– ident: key-10.3934/math.2022971-15
  doi: 10.1088/0266-5611/28/8/085004
– ident: key-10.3934/math.2022971-2
  doi: 10.1088/0266-5611/18/2/310
– ident: key-10.3934/math.2022971-23
  doi: 10.1186/1029-242X-2014-478
– ident: key-10.3934/math.2022971-28
– ident: key-10.3934/math.2022971-6
  doi: 10.1088/0031-9155/51/10/001
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  doi: 10.1016/j.na.2012.11.013
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  doi: 10.1088/0266-5611/26/5/055007
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  doi: 10.1155/2021/6624509
– ident: key-10.3934/math.2022971-24
  doi: 10.1007/s11075-015-0069-4
– ident: key-10.3934/math.2022971-9
  doi: 10.23952/jnva.5.2021.1.06
– ident: key-10.3934/math.2022971-25
  doi: 10.1007/s11784-019-0684-0
– ident: key-10.3934/math.2022971-19
  doi: 10.1016/0041-5553(64)90137-5
– ident: key-10.3934/math.2022971-10
– ident: key-10.3934/math.2022971-31
  doi: 10.1186/s13660-021-02656-1
– ident: key-10.3934/math.2022971-12
– ident: key-10.3934/math.2022971-21
  doi: 10.1088/0266-5611/24/5/055008
– ident: key-10.3934/math.2022971-1
– ident: key-10.3934/math.2022971-18
– ident: key-10.3934/math.2022971-3
  doi: 10.1088/0266-5611/20/1/006
– ident: key-10.3934/math.2022971-27
  doi: 10.1007/s40314-021-01465-y
– ident: key-10.3934/math.2022971-30
  doi: 10.1080/01630563.2013.809360
– ident: key-10.3934/math.2022971-26
  doi: 10.1016/S0252-9602(16)30049-2
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  doi: 10.23952/jnva.5.2021.1.04
– ident: key-10.3934/math.2022971-22
  doi: 10.1515/JIIP.2008.026
– ident: key-10.3934/math.2022971-33
  doi: 10.11948/20190330
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Snippet In this paper, a new self-adaptive algorithm with the inertial technique is proposed for solving the split equality problem in $ p $-uniformly convex and...
In this paper, a new self-adaptive algorithm with the inertial technique is proposed for solving the split equality problem in p-uniformly convex and uniformly...
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SubjectTerms banach space
inertial technique
self-adaptive method
split equality problem
strong convergence
Title An inertial iterative method for solving split equality problem in Banach spaces
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