On the Existence of Global Attractors
نویسنده
چکیده
Let be a semiiow on a complete metric space W. Assume that is-contracting (in the sense of Kuratowski) and point dissipative. We show here that has a global attractor in W. This is an improvement over earlier results in which a further assumption, wherein the orbit of each bounded set is bounded, is made for. Furthermore, this result includes the Billotti-LaSalle Theorem, where is assumed to be compact for t r > 0, as a special case.
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