Báo cáo toán học: "A Fixed Point Theorem for Nonexpansive Mappings in Locally Convex Spaces" ppt

... F, min) is probabilistic strictly convex then its corresponding (X, {p λ }) is strictly convex. Proof. Putting t = 1 in Definition 7 we get A Fixed Point Theorem for Nonexpansive Mappings in Locally ... min) satisfy the following condition: For each fixed t ∈ R, the function F x (t):X → [0, 1] is weakly lower semi- continuous in x ∈ X. (3) A Fixed Point Theorem...

Ngày tải lên: 06/08/2014, 05:20

... d(z, Tz) = inf{d(x, Tx): x Î X} = 0 and, therefore, z is a fixed point of T. The uniqueness of the fixed point is proved as in Theorem 2.7. Remark 3.3. A parallel result in the nonincreasing case ... operator T has two fixed points. Inwhatfollows,wepresentasufficientcondition for the uniqueness of the fixed point in Theorems 2.3 and 2.6. This condition appears in [15...

Ngày tải lên: 20/06/2014, 22:20

... mapping for a given nonlinear expand- ing mapping of X into itself involves a specific fixed point theorem. As a corollary of our main Theorem 5.1, we obtain the foll ow ing fixed point theorem for ... fixed point theorem 5. The main theorem on differentiable expanding operators We now formulate and prove the following new inverse mapping theorem for nonlinear differentiable...

Ngày tải lên: 22/06/2014, 22:20

... Denjoy-Wolff point of ϕ .In- deed, arguing by contradiction, assume e iθ is the Denjoy-Wolff point of ϕ.Notethat one can consider a horodisk HD(e iθ ,k) for which z is interior and ϕ(z) exterior, since |e iθ − ... (2.9) then ϕ has a fixed point in U.Conversely,ifϕ is an analytic self-map of U other than the identity and ϕ has a fixed point, then there exist finitely many points z 1 , ,...

Ngày tải lên: 23/06/2014, 00:20

... notice below). For information about publishing your research in Fixed Point Theory and Applications go to http://www.fixedpointtheoryandapplications.com/authors/instructions/ For information about ... upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Fixed point theorems for contraction mappings in modular metric spaces Fixed...

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