Research report: "The general property of weak compatible mappings in metric spaces O" pptx

... fixed point theorems in symmetric spaces for weakly compatible maps. The main purpose of this paper is to give some common fixed point theorems for weakly compatible selfmappings of o -metric spaces. We ... observed in [3] that some of the defining properties of the metric are not needed in the proofs of certain metric theorems. Motivated by this fact, Hicks in...

Ngày tải lên: 23/07/2014, 13:20

... pages doi:10.1155/2011/216173 Research Article Convergence of Iterative Sequences for Common Zero Points of a Family of m-Accretive Mappings in Banach Spaces Yuan Qing, 1 Sun Young Cho, 2 and Xiaolong Qin 1 1 Department of ... αα n }.Inviewof Lemma 2.4, we can obtain the desired conclusion easily. This completes the proof. As an application of Theorems 3.1 and 3.2, we have...

Ngày tải lên: 21/06/2014, 05:20

... nonexpansive mappings, ” Proceedings of the American Mathematical Society, vol. 35, pp. 171–174, 1972. 2 J. Schu, “Iterative construction of fixed points of asymptotically nonexpansive mappings, ” Journal ... subset of a reflexive Banach space E with a weakly continuous dual mapping, and let {T i } ∞ i1 be an in nite countable family of asymptotically nonexpansive mappings wit...

Ngày tải lên: 21/06/2014, 23:20

... convergence t heorems for finding a common fixed point of a finite family of relatively nonexpansive mappings in Banach spaces by using the hybrid method in mathematical programming. Theorem 3.1. Let E ... duality mapping from E into E ∗ . Then J −1 is also single-valued, one-to-one, and surjective, and it is the duality mapping from E ∗ into E. We make use of the following mapping...

Ngày tải lên: 21/06/2014, 23:20

... pages doi:10.1155/2009/804734 Research Article Some Common Fixed Point Theorems for Weakly Compatible Mappings in Metric Spaces M. A. Ahmed Department of Mathematics, Faculty of Science, Assiut University, ... fixed point theorem for weakly compatible mappings generalizing a result of Khan and Kubiaczyk 1988. Also, an example is given to support our generalization. We a...

Ngày tải lên: 22/06/2014, 11:20

... point of a finite family of nonexpansive mappings in Banach spaces. Let C beanonemptyclosedconvexsubsetofaBanachspaceE and let {T i } m i =1 be a finite family of nonexpansive mappings from C into ... problem of image recovery in the setting of Hilbert spaces is a common fixed point problem for a family of nonexpansive mappings. A well-known method for finding a solution...

Ngày tải lên: 22/06/2014, 22:20

... 2.12. In the following example, we give a broad class of ws-compact mappings which are not sequentially weakly continuous. 2 Fixed Point Theory and Applications all nonempty bounded subsets of X ... continue the study of ws-compact mappings, investigate the boundary conditions, and establish new fixed point theorems. Specifically, we prove several fixed point theorems for ws-compact...

Ngày tải lên: 21/06/2014, 11:20

... approximation of fixed points of compositions of nonexpansive mappings in Hilbert space, J. Math. Anal. Appl. 202 (1996), no. 1, 150–159. [2] F.E.Browder,Convergence of approximants to fixed points of nonexpansive ... points of nonexpansive mappings in Banach spaces, J.Math.Anal.Appl.302 (2005), no. 2, 509–520. [9] J.S.JungandT.H.Kim,Convergence of approximate sequences f...

Ngày tải lên: 23/06/2014, 00:20

... sequences of real numbers defined for n ∈ N  {0, 1, 2, } and 0 <a l ≤ a u ,0<b l ≤ b u . Similarly to the proof of Propositions 1 and 3 in 12, we can obtain the following. Hindawi Publishing ... 4 Advances in Difference Equations 2. Proof of Theorem 1.2 The following lemma can be found in 10. Lemma 2.1. Assume that A>0 and y0 > 0, ... d u i H i  M i ⎫ ⎬ ⎭ . 2.23...

Ngày tải lên: 21/06/2014, 11:20

... r f ∈ ε(n) ω Diff r (n) 1. Introduction “ f 0 0 f 0 ” [5] [2] f ∈ ε(n) ω Diff (n) ω K| x 1 | x 1 K  0 {x 1 = 0} f ∈ ε(n) ω Diff r (n) ω f ∈ ε(n) ω Diff r (n) 2. Preliminaries ε(n, p) R n R p ε(n) ... Preliminaries ε(n, p) R n R p ε(n) ε(n, 1) r ∈ N, 0 ≤ r ≤ n I = {1, , r} 1 - Rec eived 30/09/2005, in revised form 20/01/2006. X i {(x 1 , x 2 , , x n ) ∈ R n : x i = 0} i ∈ I P (I) I X = {X...

Ngày tải lên: 23/07/2014, 13:21