Open AccessON FINITE-DIMENSIONAL QUASI-VARIATIONAL INEQUALITIES ASSOCIATED WITH DISCONTINUOUS FUNCTIONS
Author(s) -
Tetz C. Huang
Publication year - 1994
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.25.1994.4435
Subject(s) - mathematics , generalization , variational inequality , fixed point , point (geometry) , fixed point theorem , set (abstract data type) , inequality , pure mathematics , mathematical analysis , geometry , computer science , programming language
In this paper, we derive several existence results for quasi-variational inequalities where the functions under consideration need not have any continuity properties. In particular, we obtain a new fixed point theorem for point-to-set mappings which is also a generalization of the famous Kakutani's fixed point the- orem.