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An application of Himmelberg’s fixed point theorem to non-compact optimization problems. (English) Zbl 0754.47037

The authors using Himmelberg’s fixed point theorem prove a non- cooperative equilibrium existence theorem in non-compact setting. Further, they generalize the existence theorem of T. Kaczynski and V. Zeidan [Nonlinear Anal., Theory Math. Appl. 13, No. 3, 259-261 (1989; Zbl 0685.49009)] to non-compact infinite optimization problems.

MSC:

47H10 Fixed-point theorems
91B50 General equilibrium theory

Citations:

Zbl 0685.49009
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