In mathematics, solving many problems leads to the formation of equations and solving them. The basis question dealing with the equations is that whether a solution exists or not. If exists, how to identify a such solution? And, how does the solution set change when the input data are perturbed? One of the powerful frameworks to consider the existence of solutions of equations is metric regularity. For equations of the form f(x) = y, where f : X ! Y is a single-valued mapping between metric spaces, the condition ensuring the existence of solutions of equations is the surjectivity of f. Luận án tiến sĩ Toán học Chuyên ngành Toán Giải tích Người hướng dẫn khoa học: PGS. TSKH. Huỳnh Văn Ngãi, TS. Nguyễn Hữu Trọn Tác giả: Đào Ngọc Hân Số trang: 145 Kiểu file: PDF Ngôn ngữ: Tiếng Anh Đại học Quy Nhơn 2021 Link Download http://luanvan.moet.edu.vn/?page=1.13&view=38060 https://drive.google.com/uc?id=1VepSs_GJlE2WnM97fpDOhuaVsv-3BU4Ahttps://drive.google.com/drive/folders/1yLBzZ1rSQoNjmWeJTM6cEZ3WGQHg04L1