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On the existence of equilibrium points of vector functions. (English) Zbl 0896.90161
Summary: The equilibrium problem concerning vector functions is formulated and some results on the existence of equilibrium points for this problem are proved and applied to vector optimizations, Nash equilibrium in noncooperative games, variational inequalities etc. concerning vector functions.

MSC:
90C29 Multi-objective and goal programming
49J40 Variational inequalities
91A10 Noncooperative games
90C48 Programming in abstract spaces
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[1] Aubin, J.P. and Ekland, I. 1984. ”Applied nonlinear analysis”. Wiley Interscience.
[2] DOI: 10.1080/01630568908816335 · Zbl 0678.49010 · doi:10.1080/01630568908816335
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[7] DOI: 10.1016/0001-8708(78)90128-7 · Zbl 0407.49008 · doi:10.1016/0001-8708(78)90128-7
[8] DOI: 10.1007/BFb0079943 · doi:10.1007/BFb0079943
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