Approximate methods for fixed points of nonexpansive mappings and nonexpansive semigroups in hilbert spaces

... results involving general viscosity approximation processes for nonexpansive mapping, nonexpansive semigroup, and contractive mapping to nonexpansive semigroup and φ-strongly pseudocontractive mapping ... 3.1 and 3.2 are valid for nonexpansive mappings Thus, we have the following mean ergodic assertions of general viscosity iteration process for nonexpansive mappin...

Ngày tải lên: 21/06/2014, 07:20

... basic for the development of fixed points of contraction mapping in finite dimensional spaces to many other classes of mappings, for instance Lipschitzian mappings, pseudocontractive mappings in Hilbert ... and nonexpansive semigroups in Hilbert spaces 4 Chapter Preliminaries 1.1 1.1.1 Approximative Methods For Fixed Points of Nonexpansive Mappi...

Ngày tải lên: 25/08/2015, 14:54

... finding nearest common fixed points of nonexpansive mappings in Hilbert spaces,” Nonlinear Analysis, vol 54, no 8, pp 1417–1426, 2003 L P Belluce and W A Kirk, Nonexpansive mappings and fixed-points ... following are satisfied NS1 For each t ≥ 0, T t is a nonexpansive mapping on C NS2 T s t T s ◦ T t for all s, t ≥ NS3 For each x ∈ C, the mapping t → T t x from 0, ∞ into C is stron...

Ngày tải lên: 21/06/2014, 20:20

... method for finding a common element of the set of solutions of problem (1.2) and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for ... finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of a family of infinitel...

Ngày tải lên: 21/06/2014, 02:20

... approximation methods 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 ... following variational inequality: f − I q, p − q ≤ ∀p ∈ Ω 3.31 Taking A I, γ and f ≡ u ∈ C is a constant in Theorem 3.1, we get the results of Iiduka and Takahash...

Ngày tải lên: 22/06/2014, 02:20

... αn > 0, the general composite implicit iteration scheme (1.4) can be employed for the approximation of common fixed points of a finite family of nonexpansive mappings For the same reason, the operator ... < 1, the general composite implicit iteration scheme (1.5) can be employed for the approximation of common fixed points of a finite family of nonexpansive m...

Ngày tải lên: 22/06/2014, 19:20

... nonexpansive mappings, ” Indian Journal of Pure and Applied Mathematics, vol 26, no 10, pp 953–957, 1995 [7] H F Senter and W G Dotson Jr., Approximating fixed points of nonexpansive mappings, ” Proceedings ... “Multivalued nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 43, no 6, pp 693–706, 2001 [11] L.-C Zeng, “A note on a...

Ngày tải lên: 21/06/2014, 22:20

... nonexpansive mappings, ” Indian Journal of Pure and Applied Mathematics, vol 26, no 10, pp 953–957, 1995 [7] H F Senter and W G Dotson Jr., Approximating fixed points of nonexpansive mappings, ” Proceedings ... “Multivalued nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 43, no 6, pp 693–706, 2001 [11] L.-C Zeng, “A note on a...

Ngày tải lên: 22/06/2014, 00:20

... Pacific Journal of Mathematics, vol 86, no 2, pp 427–436, 1980 11 C E Chidume, J Li, and A Udomene, “Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings, ” ... differentiable a and T : K → K is nonexpansive with F T / ∅, then F T is a nonexpansive retract of K Let K be a nonempty closed convex and bounded subset of a Banac...

Ngày tải lên: 22/06/2014, 06:20

... Pacific Journal of Mathematics, vol 86, no 2, pp 427–436, 1980 11 C E Chidume, J Li, and A Udomene, “Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings, ” ... differentiable a and T : K → K is nonexpansive with F T / ∅, then F T is a nonexpansive retract of K Let K be a nonempty closed convex and bounded subset of a Banac...

Ngày tải lên: 22/06/2014, 18:20

... deal with the strong convergence to common fixed points of two nonexpansive mappings in a Hilbert space We consider an iteration scheme for nonexpansive mappings without commutativity assumption ... Strong convergence to common fixed points of families of nonexpansive mappings, Journal of Mathematical Analysis and Applications 211 (1997), no 1, 71–83 [9] R...

Ngày tải lên: 22/06/2014, 22:20

... D of H 70 Fixed points of demicontinuous pseudocontractive maps In what follows, we will make use of the following lemma and theorems Lemma 2.1 [2] Let {λn }, {γn }, and {αn } be sequences of ... 68 Fixed points of demicontinuous pseudocontractive maps Closely related to the class of pseudocontractive mappings is the class of accretive mappings A mapping A ....

Ngày tải lên: 23/06/2014, 00:20

... of fixed points of f resp., g is denoted by F f resp., F g A point x ∈ M is a coincidence point common fixed point of f and g if fx gx x fx gx The set of coincidence points of f and g is denoted ... C f, g Common Fixed Point Theorems for Commuting Maps In this section we extend some results in to the setting of two mappings having a unique common fixed point The...

Ngày tải lên: 21/06/2014, 07:20

... proved Reich’s results hold in reflexive Banach spaces which have a weakly continuous duality mapping In the last ten years or so, the iterative methods for nonexpansive mappings have recently been ... Cite this article as: Wangkeeree and Preechasilp: The modified general iterative methods for nonexpansive semigroups in banach spaces† Fixed Point Theory a...

Ngày tải lên: 20/06/2014, 22:20

... of Inequalities and Applications 15 L.-C Ceng, S Al-Homidan, Q H Ansari, and J.-C Yao, An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings,” ... Springer, Berlin, Germany, 1999 S Plubtieng and R Punpaeng, “A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces,” J...

Ngày tải lên: 21/06/2014, 05:20