On convergence of infinite products of convex combinations of mappings in CAT(0) spaces

Arabian Journal of Mathematics - Tập 12 - Trang 353-361 - 2023
Rafael Espínola-García1, Aleksandra Huczek2
1Department of Mathematical Analysis-IMUS, University of Seville, Seville, Spain
2Department of Mathematics, Pedagogical University of Krakow, Cracow, Poland

Tóm tắt

We study the weak convergence of infinite products of convex combinations of operators in complete CAT(0) spaces. We provide a new approach to this problem by considering a constructive selection of convex combinations in CAT(0) spaces that does not depend on the order of the involved elements and retain continuity properties with respect to them.

Tài liệu tham khảo

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