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Ultima descărcare din IBN: 2023-01-28 01:14 |
Căutarea după subiecte similare conform CZU |
517.5+517.9 (7) |
Analiză (300) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242) |
SM ISO690:2012 JOLAOSO, Lateef Olakunle, OGBUISI, Ferdinard Udochukwu, MEWOMO, Oluwatosin Temitope. An iterative method for solving split minimization problem in Banach space with applications. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2021, nr. 1-2(95-96), pp. 3-30. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1-2(95-96) / 2021 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.5+517.9 | ||||||
MSC 2010: 47H06, 47H09, 49J53, 65K10. | ||||||
Pag. 3-30 | ||||||
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Rezumat | ||||||
The purpose of this paper is to study an approximation method for finding a solution of the split minimization problem which is also a fixed point of a right Bregman strongly nonexpansive mapping in p-uniformly convex real Banach spaces which are also uniformly smooth. We introduce a new iterative algorithm with a new choice of stepsize such that its implementation does not require a prior knowledge of the operator norm. Using the Bregman distance technique, we prove a strong convergence theorem for the sequence generated by our algorithm. Further, we applied our result to the approximation of solution of inverse problem arising in signal processing and give a numerical example to show how the sequence values are affected by the number of iterations. Our result in this paper extends and complements many recent results in literature. |
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Cuvinte-cheie split feasibility problems, split minimization problems, proximal operators, fixed point problems, inverse problems, Bregman distance, soft thresholding, Banach spaces |
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