[PDF] Top 20 Approximating Fixed Points of Generalized Nonexpansive Mappings in Banach Spaces

... called nonexpansive. The nonexansive mappings have been studied by Kirk and Goebel [6] for fixed ...of generalized nonexpansive mappings characterized by the ... See full document

... nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function φ ...quasi-nonexpansive mappings having demiclosed ... 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

... (real) Banach space and let C be a nonempty subset of ...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 ... See full document

... a Banach space E is said to have 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 ... 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

... a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a Banach space ...the generalized projection ... 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 ... See full document

... In [30], Rhoades obtained strong convergence theorem for asymptotically nonexpan- sive mappings in uniformly convex Banach spaces using a modified Ishikawa iteration method. Osilike and Aniagbosor ... See full document

... CAT() spaces for generalized nonexpansive mappings enabling us to enlarge the class of underlying mappings as well as the class of spaces in the corre- sponding results of ... See full document

... Within the past 20 years or so, a few researchers have applied the Mann iteration method and the Ishikawa iteration method to approximate fixed points of nonexpansive mappings in several ... See full document

... in Banach spaces of Shahzad 23 and also extends a result of Dhompongsa and Panyanak 22 to the case of nonself mappings. It is worth mentioning that our result immediately applies to any CATκ space ... See full document

... characterized by the inequality (1.6) and (1.7) . in this section we prove a couple of results concerning the existence of fixed point for the class of generalized nonexpansive mappings. ... See full document

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

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

... In 2000, Noor [16] introduced a three-step iterative scheme and studied the approximate solu- tions of variational inclusion in Hilbert spaces. Suantai [19] defined a new three-step iterations which is an ... 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

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...interesting fixed point theorems and convergence theorems for such mappings in ... See full document

... convex Banach space B, and T : D → D with fixed point set F(T ...the generalized versions of the conditions of Senter and Dotson [6] as: the mapping T with F(t) = ∅ is said to satisfy the following ... See full document

... firmly nonexpansive-like mappings mappings of type P in a Banach ...of mappings of type P contains the classes of resolvents of maximal monotone operators in Banach spaces ... See full document