Trần Văn Duy , Hà Nguyễn Huỳnh Anh , Đỗ Hồng Diễm Đinh Ngọc Quý *

* Tác giả liên hệ (dnquy@ctu.edu.vn)

Abstract

In this paper, we give some extended versions of Ekeland’s variational principle for interval-valued functions on the completed metric spaces based on the outer semicontinuity. These results are novel and different from recent results on this topic. Many examples are given to compare and illustrate the main results.

Keywords: Ekeland’s variational principle, outer semicontinuity, interval-valued functions

Tóm tắt

Trong bài báo này, chúng tôi đưa ra các phiên bản mở rộng của nguyên lý biến phân Ekeland cho hàm có giá trị khoảng trên không gian mêtric đủ dựa trên tính nửa liên tục outer. Các kết quả này đã mang lại tính mới và khác biệt so với các kết quả nghiên cứu gần đây về chủ đề này. Nhiều ví dụ cụ thể được đưa ra để so sánh và minh họa cho kết quả chính.

Từ khóa: Nguyên lý biến phân Ekeland, tính nửa liên tục outer, hàm có giá trị khoảng

Article Details

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