Lý thuyết điểm cố định trong không gian metric cho các ánh xạ không mở rộng được xác định trên các tập không bị chặn

Springer Science and Business Media LLC - Tập 2014 - Trang 1-12 - 2014
Maryam A Alghamdi1, William A Kirk2, Naseer Shahzad3
1Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia
2Department of Mathematics, University of Iowa, Iowa City, USA
3Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

Tóm tắt

Trong lý thuyết điểm cố định metric, việc giảm các câu hỏi về điểm cố định cho các ánh xạ được xác định trên các tập không bị chặn về trường hợp bị chặn là một thực hành tiêu chuẩn. Nhiều kết quả này được trình bày trong khuôn khổ không gian Banach và liên quan đến các quỹ đạo bị chặn. Chúng tôi xem xét các kết quả này trong một bối cảnh metric rộng hơn ở đây.

Từ khóa

#Điểm cố định #ánh xạ không mở rộng #không gian metric #không gian Banach #quỹ đạo.

Tài liệu tham khảo

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