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

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, {pλ}) is strictly convex. Proof. Putting t = 1 in Deﬁnition 7 we getA Fixed Point Theorem for Nonexpansive Mappings in Locally ... min) satisfy the followingcondition: For each ﬁxed t ∈ R, the function Fx(t):X → [0, 1] is weakly lower semi-continuous in x ∈ X. (3)A Fixed Point Theorem for Nonexpansive Mappings in Locally ... method in [3] we get a ﬁxed point theorem for a nonexpansive mapping in a locally convex space and apply it toget an analogous result for probabilistic normed spaces.2. Fixed Point Theorems2.1....

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Báo cáo hóa học: " A fixed point theorem for Meir-Keeler contractions in ordered metric spaces" pot

... 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] and says: For x, y ∈ X, there ... is monotone.2 Fixed point results: nondecreasing caseOur starting point is the following definition.Definition 2.1. Let ( X, ≤) be a partially ordered set and T: X ® X a mapping. Wesay that...

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Báo cáo hóa học: "A FIXED POINT THEOREM FOR A CLASS OF DIFFERENTIABLE STABLE OPERATORS IN BANACH SPACES" potx

... mapping for a given nonlinear expand-ing mapping of X into itself involves a speciﬁc ﬁxed point theorem. As a corollary ofour main Theorem 5.1, we obtain the foll ow ing ﬁxed point theorem for ... ﬁxed point theorem 5. The main theorem on diﬀerentiable expanding operatorsWe now formulate and prove the following new inverse mapping theorem for nonlineardiﬀerentiable expanding operators. Theorem ... of X.Since(A − I)isbijective,wededucethe uniqueness of the ﬁxed point xﬁx∈ X. Our next ﬁxed point theorem can be formulated as a corollary of the basic (Theorem 4.7) for linear expanding operators.Theorem...

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Báo cáo hóa học: " A FIXED POINT THEOREM FOR ANALYTIC FUNCTIONS VALENTIN MATACHE" doc

... Denjoy-Wolﬀ point of ϕ .In- deed, arguing by contradiction, assume eiθis the Denjoy-Wolﬀ point of ϕ.Notethatone can consider a horodisk HD(eiθ,k) for which z is interior and ϕ(z) exterior, since|eiθ− ... (2.9)then ϕ has a ﬁxed point in U.Conversely,ifϕ is an analytic self-map of U other than theidentity and ϕ has a ﬁxed point, then there exist ﬁnitely many points z1, ,zk in U such thatcondition ... ϕ(z)|2/(1 −|ϕ(z)|2). This leads to a contradiction by (2.3).88 A ﬁxed point theorem for analytic functions2. The ﬁxed point theorem For each eiθ∈ T and k>0, the setHDeiθ,k:=z ∈ U...

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Báo cáo toán học: " Fixed point theorems for contraction mappings in modular metric spaces" pptx

... notice below). For information about publishing your research in Fixed Point Theory and Applications go tohttp://www.fixedpointtheoryandapplications.com/authors/instructions/ For information about ... upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon. Fixed point theorems for contraction mappings in modular metric spaces Fixed Point Theory and Applications ... InterdisciplinaryMath. 8, 377–385 (2005)[25] Kumam, P: Fixed point theorems for nonexpansive mapping in modularspaces. Arch. Math. 40, 345–353 (2004)[26] Mongkolkeha, C, Kumam, P: Fixed point...