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Số xuất bản: Tập 15 Số 5 (2026): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục: Khoa học Tự nhiên (Tiếng Anh)
DOI: 10.52714/dthu.ns.3028.1888
Ngày xuất bản: 27/04/2026
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Nguyen, T. H., & Le, T. P. (2026). Convergence of three-step iteration for asymptotically nonexpansive mappings in CAT(0) spaces. Tạp chí Khoa học Đại học Đồng Tháp, 15(5), 103-120. https://doi.org/10.52714/dthu.ns.3028.1888

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Convergence of three-step iteration for asymptotically nonexpansive mappings  in CAT(0) spaces

Nguyen Trung Hieu1, Le Thi Phuong2,
1 Faculty of Mathematics - Informatics Teacher Education, School of Education, Dong Thap University, Cao Lanh 870000, Vietnam
2 Student, Faculty of Mathematics - Informatics Teacher Education, School of Education, Dong Thap University, Cao Lanh 870000, Vietnam

Nội dung chính của bài viết

Tóm tắt

In this paper, we introduce a three-step iteration scheme for approximating common fixed points of three asymptotically nonexpansive mappings in CAT(0) spaces. We also establish and prove some $Delta$-convergence and strong convergence results of this iterative sequence to common fixed points of three asymptotically nonexpansive mappings in complete CAT(0) spaces. In addition, we give an example to illustrate the convergence results obtained.

Từ khóa

asymptotically nonexpansive mapping, three-step iteration scheme, common fixed point, space

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Tài liệu tham khảo

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