Strong Convergence of Krasnoselskii–Mann Process for Nonexpansive Evolution Families

This article is about investigating Krasnoselskii and Mann’s convergence theorems for nonexpansive evolution family with Bochner integral and without convexity of Banach space. We introduced a general form of these results that extends these results to general form of semigroup called evolution fami...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022-10, Vol.2022, p.1-10
Main Authors: Shah, Musharaf, Rahmat, Gul, Ali Shah, Syed Inayat, Shah, Zahir, Deebani, Wejdan
Format: Article
Language:English
Subjects:
Banach spaces
Convergence
Convexity
Evolution
Theorems
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Summary:This article is about investigating Krasnoselskii and Mann’s convergence theorems for nonexpansive evolution family with Bochner integral and without convexity of Banach space. We introduced a general form of these results that extends these results to general form of semigroup called evolution families.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/3007572