×

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
PDFBibTeX XMLCite
Full Text: DOI

References:

[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
[3] Blum E, The Math. Student 63 pp 1– (1993)
[4] Blum E., Parameter Optimization and related Topis
[5] fan k, Inequalities pp 103– (1972)
[6] Luc D. T., Lecture Notes in Economics and Mathematical Systems 319
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.