[PDF] Top 20 Approximating fixed points of nonexpansive mappings

... fixed points set F(T ) in D will be said to satisfy condition A [2, 4] if there is a nondecreasing function f : [0,∞) → [0,∞) with f (0) = 0, f (r ) > 0 for r ∈ (0,∞), such that x − Sx ≥ f (d(x,F(T ))) for all x ... See full document

... for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the Ishikawa ietration ...of ... See full document

... Let X be a nonempty compact subset of a Banach space (E, · ), and let C(X) and CC(X) denote the families of all nonempty compact and all nonempty compact convex subsets of X, respectively. It is well known that (C(X), H ... See full document

... fixed points for multivalued nonexpansive mappings in uniformly convex Banach spaces was proved by Lim ...multivalued nonexpansive mappings is harder than the corresponding theory of ... See full document

... fixed points of T , ...is nonexpansive if Tx – Ty ≤ x – y for all x, y in C, and that T is quasi-nonexpansive if F(T) = ∅ and Tx – y ≤ x – y for all x in C and y in F(T ... See full document

... the fixed point property for nonexpansive map- pings provided every nonexpansive self-mapping of every nonempty, closed, convex, bounded subset K of E has a fixed ...The fixed point ... See full document

... If T satisfies Condition-A, where F is the nonempty fixed point set of T in C, then, for an arbitrary x0 C, the Picard iterates {S"x0} converge to a member of F.. We may note that C need[r] ... 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

... We introduce a new iterative scheme for finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of ... See full document

... for approximating fixed points of nonexpansive mappings and their generalizations (asymptotically nonexpansive mappings, ... See full document

... of mappings (1.6)- (1.7) and prove a couple of fixed point theorems under a generalized contraction condition with a different method which in turn generalize fixed point theorems of Bose and ... See full document

... We introduce a new class of asymptotically nonexpansive mappings and study approxi- mating methods for finding their fixed points. We deal with the Krasnosel’skii-Mann-type iterative process. ... See full document

... nonexpansvie mappings is a natural generalization of the important class of nonexpansive ...for approximating fixed points of asymptotically nonexpansive mappings have ... See full document

... for approximating fixed points of nonself nonexpansive mappings have been studied by various authors (see ...for approximating fixed points of nonself ... See full document

... Theorem . Let X be a Banach space which satisfies the τ -Opial condition. Let C be a bounded convex τ -compact nonempty subset of X not reduced to one point. Assume that (C, ·, G) has property (P) and the G-intervals ... See full document

... a nonexpansive mapping or a generalized nonexpansive ...a fixed point for T has been investigated, and some fixed point theorems and convergence theorems for T have been presented by many ... See full document

... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ... See full document

... a fixed point theorem for the self mappings of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii ... See full document

... Remark 2.8. Theorem 3 in 3 and Theorem 1 in 7 and 8 are special cases of Corollary 2.7. Corollary 2.9. Let X be a nonempty closed subset of a Banach space E, · and let T : X, · → E, · be quasi-nonexpansive. Assume ... See full document

... the fixed points set of T ...is nonexpansive if kT (x)− T (y)k 6 kx − yk for all x, y ∈ ...the fixed point property (or weak fixed point property) if for every nonempty bounded closed ... See full document