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- Title
Gap Functions and Existence of Solutions for a System of Vector Equilibrium Problems.
- Authors
Huang, N. J.; Li, J.; Yao, J. C.
- Abstract
In this paper, a gap function for a system of vector equilibrium problems is introduced and studied. Some necessary and sufficient conditions for the system of vector equilibrium problems are established. Characterizations of the solutions set for the system of vector equilibrium problems are also derived. Furthermore, some existence results of solutions for the system of vector equilibrium problems are proved.
- Subjects
VECTOR analysis; NASH equilibrium; GAME theory; NONCOOPERATIVE games (Mathematics); FIXED point theory; VARIATIONAL inequalities (Mathematics); DIFFERENTIAL inequalities; LINEAR complementarity problem; MATHEMATICAL optimization
- Publication
Journal of Optimization Theory & Applications, 2007, Vol 133, Issue 2, p201
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-007-9202-4