On the Hadamard Well-Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Author(s) -
Lu-Chuan Ceng,
YeongCheng Liou,
ChingFeng Wen,
Huiying Hu,
Long He,
Yun-Ling Cui
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/9527107
Subject(s) - mathematics , hadamard transform , banach space , hadamard three lines theorem , variational inequality , hadamard's inequality , pure mathematics , inequality , hadamard three circle theorem , mathematical analysis , minkowski inequality , hadamard matrix , log sum inequality , rearrangement inequality
We introduce a new concept of Hadamard well-posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well-posedness and Hadamard well-posedness for a generalized mixed variational inequality are studied. The characterizations of Hadamard well-posedness for a generalized mixed variational inequality are established.
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