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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Vydané v:	AIMS mathematics Ročník 7; číslo 10; s. 17628 - 17646
Hlavní autori:	Wang, Meiying, Shi, Luoyi, Guo, Cuijuan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.01.2022
Predmet:	banach space inertial technique self-adaptive method split equality problem strong convergence
ISSN:	2473-6988, 2473-6988
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Popis
Shrnutí:	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.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2022971