Báo cáo hóa học: "FIXED POINT INDICES AND MANIFOLDS WITH COLLARS CHEN-FARNG BENJAMIN AND DANIEL HENRY " potx

... FIXED POINT INDICES AND MANIFOLDS WITH COLLARS CHEN-FARNG BENJAMIN AND DANIEL HENRY GOTTLIEB Received 7 December 2004; Revised 25 April 2005; ... | W ) for any open neighborhood W of F( f )inV. 8 Fixed point indices and manifolds with collars [5] A. Dold, Fixed point index and fixed point theorem for Euclidean neighborhood retracts, Topology. An ... (2.6...

Ngày tải lên: 22/06/2014, 22:20

... formatted PDF and full text (HTML) versions will be made available soon. Fixed point and weak convergence theorems for point- dependent lambda-hybrid mappings in Banach spaces Fixed Point Theory and Applications ... :  ∞ i=n+1 x 2 i ≤ δ 2  and define λ : C → R by 16 Fixed point and weak convergence theorems for point- dependent λ-hybrid mappings in Banach spaces Young-Ye Hu...

Ngày tải lên: 20/06/2014, 04:20

... mapping with F(T) ∩ F(S) ≠ ∅. Let {a n } and {b n } be two sequences in [0, 1]. Let {x n } be defined as Lin et al. Fixed Point Theory and Applications 2011, 2011:49 http://www.fixedpointtheoryandapplications.com/content/2011/1/49 Page ... be two nonexpansive mappings, and we modified (1.3) and (1.4) as fol- lows: Lin et al. Fixed Point Theory and Applications 2011, 2011:49 ht...

Ngày tải lên: 21/06/2014, 00:20

... space and is therefore complete and closed in X. (ii) AsubsetofX is compact if and only if it is precompact and complete. Proof. It follows from Lemma 2.4 and [4, pages 59–61].  J Z. Xiao and ... fixed point theorems (in locally convex space) of Schauder-Tychonoff, Schauder-Hukanare and Schauder-Krasnoselskii, respectively. 3. Applications: fixed point theorems in probabilisti...

Ngày tải lên: 22/06/2014, 22:20

... : X → X has a fixed point. Proof. For u,v ∈X we let [u,v] denote the (unique) met ric segment joining u and v and let [u,v) = [u, v]\{v}. We associate with each point x ∈ X apointϕ(x)asfollows.For each ... 537–558. [13] J. Reinermann and R. Sch ¨ oneberg, Some results and problems in the fixed point theory for non- expansive and pseudocont ractive mappings in Hilbert-space, Fi...

Ngày tải lên: 23/06/2014, 00:20

... : X → 2 X and α ∈ Cov(X), a point x ∈ X is said to be an α-fixed point of F if there exists a member U ∈ α such that x ∈ U and F(x) ∩ U =∅.GiventwomapsF,G : X → 2 Y and α ∈ Cov(Y), F and G are ... x ∈ C with x ∈ π α F(x), that is, x = π α q for some q ∈ F(x). Now Definition 2.5(i) guarantees that there exists U ∈ α with π α (q) ∈ U and i(q) ∈ U, that is, x ∈ U and q ∈ U.Thu...

Ngày tải lên: 23/06/2014, 00:20

... (x, Tx) = 0 and, therefore, x is a fixed point of T. Finally, to prove the uniqueness of the fixed point, we have y, z Î X with y and z fixed points of T. The cyclic character of T and the fact ... fixed point theorem with a contractive condition of integral type for cyclic contractions. Karapinar and Sadarangani Fixed Point Theory and Applications 2011, 2011:69 http://www...

Ngày tải lên: 20/06/2014, 22:20

... r||T y − y || 2 +2rv − T y , T y − y  . Since y is any point of C and r > 0, let y = v and this implies that Tv = v. (i)⇒ (ii): Take any x Î C and u Î F (T), and let x and u be fixed. Since T is an asymptotic ... Hilbert space H, and let T : C ® C be an asymptotic TJ mappin g. Let a and b bethesameasin Lin et al. Fixed Point Theory and Applications 2011, 2011:51 http:...

Ngày tải lên: 20/06/2014, 22:20

... ∞) is a continuous and non-decreasing func- tion with (t)=0if and only if t =0. Luong and Thuan Fixed Point Theory and Applications 2011, 2011:46 http://www.fixedpointtheoryandapplications.com/content/2011/1/46 © ... a fixed point of T and the proof is finished. Thus, we can suppose that x n ≠ x n+1 for all n. Luong and Thuan Fixed Point Theory and Applications 2011, 20...

Ngày tải lên: 21/06/2014, 00:20