Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

In this paper, we construct a forward–backward splitting algorithm for approximating a zero of the sum of an α -inverse strongly monotone operator and a maximal monotone operator. The strong convergence theorem is then proved under mild conditions. Then, we add a nonexpansive mapping in the algorith...

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Vydané v:	Arabian Journal of Mathematics Ročník 9; číslo 1; s. 89 - 99
Hlavní autori:	Dadashi, Vahid, Postolache, Mihai
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020 Springer Springer Nature B.V
Predmet:	Algorithms Computational geometry Convergence Convexity Fixed points (mathematics) Mapping Mathematical programming Mathematics Mathematics and Statistics Operators (mathematics) Splitting 47H09 47H05
ISSN:	2193-5343, 2193-5351, 2193-5351
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