On solvability of general nonlinear variational‐like inequalities in reflexive Banach spaces
Author(s) -
Zeqing Liu,
Juhe Sun,
Soo Hak Shim,
Shin Min Kang
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1415
Subject(s) - mathematics , uniqueness , banach space , minimax , nonlinear system , variational inequality , class (philosophy) , pure mathematics , reflexivity , inequality , mathematical analysis , mathematical economics , social science , physics , quantum mechanics , artificial intelligence , sociology , computer science
We introduce and study a new class of general nonlinear variational-like inequalities in reflexive Banach spaces. By applying a minimax inequality, we establish two existence and uniqueness theorems of solutions for the general nonlinear variational-like inequality
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