Vo Viet Tri.

Positive Eigen-Pair of Dual Operator and Applications in Two-Player Game Control. Dynamic Systems and Applications 30 (2021) No.1, 79-90

https://doi.org/10.46719/dsa20213016

ABSTRACT.
In this paper, we introduce two different forms of  dual operators of the convex multivalued mapping,  find some sufficient conditions for the existence of a positive eigen-pair of the dual operator and propose some estimate for it. Furthermore, we apply this definition to find necessary conditions for two-player game control.

 Keywords. Eigenvalue, Eigen-pair, Fixed point index, Dual operator, Multivalued operator.

 AMS (MOS) Subject Classification. 47H04, 47H07, 47H010, 35P030