Báo cáo toán học: "Invariant subspaces of compact perturbations of linear operators in Banach spaces " ppt

... [7] initiated the study of certain classes of nonline ar operators by means of thedualitymappingJ  . Following Browder [7], we say that a Banach space E has a weakly continuous duality mapping ... fixed points of a nonexpansive mapping on a real Hilbert space H: min x∈C 1 2 Ax, x−x, b, (1:7) where C is the fixed point set of a nonexpansive mapping T on H and b is a given po...

Ngày tải lên: 20/06/2014, 22:20

... points of nonexpanding maps, Bulletin of the American Mathematical Society 73 (1967), 957–961. [3] T. Kato, Nonlinear semigroups and evolution equations, Journal of the Mathematical Society of Japan ... to the fixed point of T, which is the unique solution of the variational inequality (2.20). FIXED POINT VARIATIONAL SOLUTIONS FOR UNIFORMLY CONTINUOUS PSEUDOCONTRACTIONS IN BANAC...

Ngày tải lên: 22/06/2014, 22:20

... variational inequalities involving pseudocontractions in Banach spaces Yaqin Wang 1,2* and Rudong Chen 3 * Correspondence: wangyaqin0579@126.com 1 Department of Mathematics, Shaoxing University, Shaoxing 312000, ... for constructing zeros of accretive sets in Banach spaces. Nonlinear Anal. 2(1), 85–92 (1978). doi:10.1016/0362-546X(78)90044-5 9. Takahashi, W: Nonlinear Functiona...

Ngày tải lên: 20/06/2014, 22:20

... list of author information is available at the end of the article Abstract In this paper, we introduced two new classes of nonlinear mappings in Hilbert spaces. These two classes of nonlinear ... C. Remark 1.1. The class of asymptotic nonspreading mappings contains the class of nonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in Definitio...

Ngày tải lên: 20/06/2014, 22:20

... sum of a completely continuous and a strict contraction mapping 2, 3 .In 4, Reinermann extended the above result to uniform Banach spaces. The methods used in the Hilbert space setting involving ... has at least one fixed point inM. 14 Fixed Point Theory and Applications Proof. Keeping in mind that every bounded subset in a reflexive Banach space is relatively weakly compact, t...

Ngày tải lên: 21/06/2014, 11:20

... generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, vol. 178 of Lecture Notes in Pure and Applied ... (accretive), where intC is the interior of C. Proof. 1 It is obvious that T has a unique fixed point 0, that is, FT{0}. Firstly, we show that x 0 is an asymp...

Ngày tải lên: 21/06/2014, 17:20

... of Banach spaces related to the fixed point property,” Journal of Mathematical Analysis and Applications, vol. 172, no. 1, pp. 39–52, 1993. 8 P K. Lin, “Unconditional bases and fixed points of ... and convex in X and that   T  lim sup n T n . Definition 2.3. Let SN be the set of strictly increasing sequences of natural numbers and K a nonempty bounded convex subset o...

Ngày tải lên: 21/06/2014, 20:20

... and reproduction in any medium, provided the original work is properly cited. 1. Introduction In 1, the author introduced the notion of compatible mappings in metric spaces and proved some fixed-point theorems. ... concept of compatible mappings was frequently used to show the existence of common fixed points. However, the study of the existence of common fixed points for non...

Ngày tải lên: 21/06/2014, 23:20

... retractions in Banach spaces, ” Erwin Schr ¨ odinger In- stitute, preprint no. 1787, 2006. [24] A. Aleyner and S. Reich, “An explicit construction of sunny nonexpansive retractions in Banach spaces, ” ... 1isanintegerandeachC i is assumed to b e the fixed point set of a nonex- pansive mapping T i : E → E, i = 1,2, ,N. There is a considerable investigation on CFP in the settin...

Ngày tải lên: 22/06/2014, 19:20

... 8] tothecaseofF =∅and c>0 for semigroups of asymptotically nonexpansive mappings in Hilbert spaces. References [1] I. Miyadera, “Nonlinear ergodic theorems for semigroups of non-Lipschitzian mappings ... mappings in Hilbert spaces, ” Taiwanese Journal of Mathematics, vol. 4, no. 2, pp. 261–274, 2000. [2] H K. Xu, “Strong asymptotic behavior of almost-orbits of nonlinear s...

Ngày tải lên: 22/06/2014, 19:20