Phương pháp lặp ngụ ý một bước cho hai họ ánh xạ không giãn tiệm cận trong không gian hyperbolic

Hafiz Fukhar-ud-din1, Amna Kalsoom2, Safeer H Khan3
1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
2Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
3Department of Mathematics, Statistics and Physics, Qatar University, Doha, Qatar

Tóm tắt

Chúng tôi giới thiệu một phương pháp lặp ngụ ý một bước cho hai họ ánh xạ không giãn tiệm cận hữu hạn trong không gian hyperbolic và sử dụng nó để xấp xỉ các điểm cố định chung của những họ ánh xạ này. Các kết quả được trình bày trong bài báo này là mới trong bối cảnh không gian hyperbolic. Hơn nữa, đây là những tổng quát của một số kết quả trong tài liệu từ không gian Banach sang không gian hyperbolic. Cuối bài báo, chúng tôi đưa ra một ví dụ để xác thực các kết quả của mình.

Từ khóa

#phương pháp lặp ngụ ý #ánh xạ không giãn tiệm cận #không gian hyperbolic #điểm cố định

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