[PDF] Top 20 Common fixed points of G-nonexpansive mappings on Banach spaces with a graph

... directed graph G for which the set V (G) of its vertices coincides with X and the set E(G) of its edges contains all ...that G has no parallel edges. Then G = (V (G), ... See full document

... convex Banach space endowed with a tran- sitive directed graph G = (V (G),E (G)), such that V (G) = C and E (G) is ...of G-asymptotically nonexpansive ... See full document

... reflexive Banach space which has the Kadec- Klee property and A : E → 2 E ∗ a monotone operator such that there exists a nonempty closed convex subset C of E satisfying DA ⊂ C ⊂ RI J −1 ... See full document

... a Banach space X, a mapping t : E → X is said to satisfy the conditional fixed point property (CFP) if either t has no fixed points, or t has a fixed point in each nonempty bounded closed convex set that ... See full document

... In [1], we established a number of results concerning common fixed points of three selfmaps on a metric space using sequences which were not necessarily obtained as sequences of iterates[r] ... See full document

... Therefore, Sx – y  ≤ x – Sy  = x – y  and hence the proof is complete. Theorem . Let X be a uniformly convex Banach space and E be a nonempty weakly compact convex subset of X. Assume that S : E → E is a ... See full document

... approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...for nonexpansive ... See full document

... [7] Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591–597. MR 35#2183. Zbl 179.19902. [8] J. Schu, Weak and strong ... See full document

... 5. Yamada, I: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings. In: Reich, S, Censor, Y, Butnariu D (eds.) ... See full document

... of fixed points by doubly Mann iteration process began by Moore see ...some fixed point theorems for some different classes of ...smooth Banach spaces: one for nonexpansive ... See full document

... In recent years, a new direction has been very active essentially after the publication of Ran and Reurings fixed point theorem [] dealing with the extension of the Banach contraction principle to metric ... See full document

... of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity ... See full document

... Let G be a directed graph (digraph) with a set of vertices V (G) and a set of edges E(G) containing all the loops, ...that G has no parallel edges (arcs), and so we can identify ... See full document

... reflexive Banach space E, let T be a mapping from C into itself, and let F(T) be the set of all fixed points of ...asymptotic fixed point of T (see Reich [23]) if there exists a sequence { z n ... See full document

... convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a nonexpansive mapping with nonempty fixed points set F, and let T be ... See full document

... a Banach space E such that C is nonempty closed convex and D ⊂ C, then a map Q : C → D is sunny see 12, 13 provided Qx tx − Qx Qx for all x ∈ C and t ≥ 0 whenever x tx − Qx ∈ ...sunny nonexpansive ... See full document

... strongly nonexpansive operators in Banach spaces and obtained two strong convergence theorems for finitely many Bregman strongly nonexpansive operators under some ...finding common ... See full document

... We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and ... See full document

... called nonexpansive if Tx − T y ≤ x − y for all x, y ∈ K; and is called quasi-nonexpansive if F (T ) = ∅ and Tx − x ∗ ≤ x − x ∗ for all x ∈ K and x ∗ ∈ F(T ...a nonexpansive mapping with a nonempty ... See full document

... a Banach space (X, k · k), and let T : K → K be a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point theorems and ... See full document