Convergence of Gauss Newtons method

... Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of Yao et al Fixed Point Theory and Applications 2011, 2011:53 http://www.fixedpointtheoryandapplications.com/content/2011/1/53 ... fixed point approach to variational inequalities Bull Aust Math Soc.80, 117–124 Lu, X, Xu, HK, Yin, X: Hybrid methods for a...

Ngày tải lên: 20/06/2014, 22:20

... and 2-uniformly smooth Banach space and C a nonempty closed convex subset of E Let QC be a sunny nonexpansive retraction from E onto C, α > 0, and A an α -inverse strongly accretive operator of ... Evidently, the definition of the inverse strongly accretive operator is based on that of the inverse strongly monotone operator Let D be a subset of C and let Q be a mappi...

Ngày tải lên: 22/06/2014, 02:20

... integers and real numbers, respectively Let E be a Banach space and let E∗ be the dual space of E For a sequence {xn } of E and a point x ∈ E, the weak convergence of {xn } to x and the strong x and ... Inoue et al 20 and Su et al 19 , we modify iterations 1.4 and 1.5 to obtain strong convergence theorems for finding a common element of the zero point set of...

Ngày tải lên: 22/06/2014, 11:20

... Journal of Mathematical Analysis and Applications, vol 336, no 1, pp 455– 469, 2007 V Colao, G Marino, and H.-K Xu, An iterative method for finding common solutions of equilibrium and fixed point problems, ” ... Journal of Mathematical Analysis and Applications, vol 344, no 1, pp 340– 352, 2008 10 Y Yao, Y.-C Liou, and J.-C Yao, Convergence theorem for equilibrium...

Ngày tải lên: 22/06/2014, 11:20

... in the tables, we observe that (a) Similar to other methods for Ky Fan inequalities such as the proximal point algorithm, or the auxiliary principle for equilibrium problems, the rapidity of the ... analyse the convergence of Algorithm 2.4 Theorem 2.5 Let the above assumptions (A1 )−(A4 ) hold Then, the sequence {xk } generated by Algorithm 2.4 converges strong...

Ngày tải lên: 14/10/2015, 08:31

... is the result in Theorem KX true in the framework of the much general Banach space? Osilike et al [5] proved the convergence theorems of modified Mann iteration method in the framework of q-uniformly ... to p, then T x = p Kim and Xu [6] studied weak and strong convergence theorems for the class of asymptotically κ-strictly pseudocontractive mappings in Hilbert...

Ngày tải lên: 18/06/2014, 22:20

... Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval Withun Phuengrattana1,2 and Suthep Suantai1,2,∗ ... employ the concept of W -mappings and Kmappings for approximation of a solution of (1.2) for a continuous function on an arbitrary interval and compare...

Ngày tải lên: 20/06/2014, 20:20

... 2007 10 P C Duan and J Zhao, “Strong convergence theorems by hybrid methods for strict pseudocontractions and equilibrium problems,” Fixed Point Theory and Applications, vol 2010, Article ID 528307, ... finding a common element of the fixed point set of a finite family of strict pseudocontractions and the solution set of the system of equilibrium problem...

Ngày tải lên: 21/06/2014, 07:20

... differentiable norm or a reflexive Banach space E with a weakly continuous duality a mapping Other investigations of approximating common fixed points for a countable family of nonexpansive mappings can ... 23 initiated the study of certain classes of nonlinear operators by means of the duality mapping Jϕ Following Browder 23 , we say that a Banach space E has a w...

Ngày tải lên: 21/06/2014, 11:20

... for nonexpansive mappings, ” Journal of Mathematical Analysis and Applications, vol 298, no 1, pp 279–291, 2004 G Marino and H.-K Xu, A general iterative method for nonexpansive mappings in Hilbert ... Hilbert spaces,” Journal of Mathematical Analysis and Applications, vol 318, no 1, pp 43–52, 2006 Y Yao, A general iterative method for a finite family...

Ngày tải lên: 21/06/2014, 11:20

... Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval Withun Phuengrattana1,2 and Suthep Suantai1,2,∗ ... employ the concept of W -mappings and Kmappings for approximation of a solution of (1.2) for a continuous function on an arbitrary interval and compare...

Ngày tải lên: 21/06/2014, 17:20

... 1.5 for all x, y ∈ C It is obvious that any α−inverse strongly monotone mapping A is monotone and Lipschitz continuous Construction of fixed points of nonexpansive mappings and asymptotically nonexpansive ... bifunction satisfying the conditions (A1)–(A4), let A be an α-inverse strongly 14 Fixed Point Theory and Applications monotone mapping of C into H, and let {...

Ngày tải lên: 21/06/2014, 20:20

... made and the sequences αn and tn of the parameters, he showed that the sequence xn implicitly defined by (1.2) for all n ≥ converges strongly to a member of F = t≥0 Fix(T(t)) Recently, Chen and He ... Point Theory and Applications Therefore the sequence { xn − x0 } is bounded and nondecreasing So lim xn − x0 exists (2.12) n→∞ On the other hand, from xn+1 ∈ Qn , we...

Ngày tải lên: 22/06/2014, 19:20

... Castillo and R D Grone, A matrix analysis approach to higher-order approximations for divergence and gradients satisfying a global conservation law,” SIAM Journal on Matrix Analysis and Applications, ... ı Libertador, Avenida P´ ez, El Paraiso Coding Postal 1020, Caracas, Venezuela a Email address: mayrafreites@cantv.net J E Castillo: Computational Science Research Center, San Diego...

Ngày tải lên: 22/06/2014, 19:20