Tính tương đương của một số quy trình lặp qua ánh xạ trung bình

The Journal of Analysis - Trang 1-18 - 2023
Rizwan Anjum1, Safeer Hussain Khan2
1Rizwan Anjum, Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
2Safeer Hussain Khan, Department of Mathematics and Statistics, North Carolina A&T State University, Greensboro, USA

Tóm tắt

Trong bài báo này, chúng tôi chỉ ra rằng các quy trình lặp Picard, Mann, Ishikawa và Picard-Mann hỗn hợp liên quan đến ánh xạ trung bình hội tụ mạnh đến điểm cố định của ánh xạ thỏa mãn điều kiện Zamfirescu được mở rộng và tất cả các quy trình lặp này tương đương với nhau. Một ứng dụng của các kết quả chính vào bài toán bất đẳng thức biến phân cũng được đưa ra.

Từ khóa

#quy trình lặp #ánh xạ trung bình #điểm cố định #điều kiện Zamfirescu #bất đẳng thức biến phân

Tài liệu tham khảo

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