[PDF] Top 20 Some Characterizations for a Family of Nonexpansive Mappings and Convergence of a Generated Sequence to Their Common Fixed Point

... Theorems 4.3, 4.5i, 4.6–4.9 show the examples of a family of nonexpansive mappings satisfying condition I. Theorems 4.5ii, 4.11, and 4.12 show those satisfying condition II. Theorem 4.3. Let C be a ... See full document

... of nonexpansive mappings which are weakly ...the fixed point property for nonexpansive map- ...strong convergence theorem is proved for a common fixed point ... See full document

... prove some fixed points properties and demiclosedness principle for multivalued mean nonexpansive mappings in uniformly convex hyperbolic ...a common fixed point of ... See full document

... strong convergence of implicit iter- ation process with errors to a common fixed point for a finite family of nonexpansive mappings in Banach ... See full document

... satisfying some quite restrictive conditions, they derived a strong convergence theorem in a Hilbert ...strong convergence of the sequence generated by their iterative algorithm to a ... See full document

... of common fixed points of a countable family of nonexpansive mappings is introduced and ...strong convergence theorem of the proposed iterative scheme to a common ... See full document

... a common fixed point in ...strong convergence of the implicit process (1.6) to a common fixed point for a finite family of nonexpansive ... See full document

... We introduce a general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong convergence. The new iterative ... See full document

... Let E be a Banach space with its dual space E*. For the sake of simplicity, the norms of E and E* are denoted by the symbol || · ||. We write 〈 x, x* 〉 instead of x*(x) for x* Î E* and x Î E. We denote as ⇀ and ® , the ... See full document

... be nonexpansive mappings of C into itself such that F(S) ∩ F(T) = ∅ ...a fixed contractive ...a fixed point z of U as t → 0, where z t is the ... See full document

... approximation sequence of a common fixed point generated by Halpern type iteration with a finite family of nonexpansive mappings in a Hadamard ...a common fixed ... See full document

... fixed point of an asymptotically nonexpansive ...asymptotically nonexpansive mapping from K into itself with F(T) ...the sequence generated ... See full document

... Recently, hybrid projection algorithms have been studied for the fixed point problems of nonlinear mappings by many authors; see, for example, 8–24. In 2006, Martinez-Yanes and Xu 10 proposed the ... See full document

... a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpan- sive mappings in a Hilbert ... See full document

... Fixed point theory has emerged as an effective and powerful tool for studying a wide class of problems which arise in economics, finance, image reconstruction, ecology, transporta- tion, network, elasticity ... See full document

... proximal point algorithm involving fixed point iterates of asymptotically nonexpansive mappings in CAT(0) spaces is proposed and the existence of a sequence generated by our ... See full document

... mapping generated by infinite family of nonexpansive mapping and infinite real ...strong convergence theorem for finding a common element of the set of fixed point ... See full document

... every nonexpansive mapping T ...asymptotically nonexpansive with constant sequence {1} and every asymptotically nonexpansive mapping is uniformly k-Lipschitzian with k = sup n∈N k n ... See full document

... approximating some common fixed point of an infinite family of nonexpansive mappings and prove the strong convergence theorems for solving some variational inequality ... See full document

... the fixed point property for nonexpansive ...a sequence {x n } n≥1 be generated iteratively by ...a fixed point of T ... See full document