Using maximization theorem, the author presented the existence of Nash equilibrium in generalized games, and in these results, the strategy set is noncompact
and has infinite players .
However, for noncompact
G' and for infinite-dimensional [pi], the restriction [pi][|.sub.G'] is not always a direct sum of irreducible representations, see [5, 6] for details.
Recall that time-like geodesics (as [l.sub.0]) are compact in Ad[S.sup.2+1] and noncompact
in d[S.sup.2+1], while spacelike ones (as [l.sub.i], [l'.sub.i]) are compact in d[S.sup.2+1] but noncompact
Therefore, the study area has noncompact
shadows from tall trees.
Pera, A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact
intervals, Annales Polonici Mathematici 47 (1987), 331-346.
Wazwaz, "Variants of the generalized KdV equation with compact and noncompact
structures," Computers & Mathematics with Applications, vol.
Fixed-point theorems for noncompact
mappings in Hilbert space.
It is consistent with ZFC that there exists a countably compact noncompact
space X such that [bar.D] has countable network for any discrete set D [subset] [C.sub.p](X).
at 39-40 ("[N]either the courts nor the scholarly literature has produced a coherent explanation of the status of noncompact
interstate agreements under the contract impairment clause.").
Wazwaz, "The sine-cosine method for obtaining solutions with compact and noncompact
structures," Applied Mathematics and Computation, vol.
Another interesting research direction is to present the problem using a noncompact
formulation based on the idea of compatible sets (see [11, 17]) that allows for an indirect consideration of an infinite number of time slots.
Wazwaz, "The tanh and the sine-cosine methods for compact and noncompact
solutions of the nonlinear Klein-Gordon equation," Applied Mathematics and Computation, vol.