[PDF] Top 20 Common fixed points for nonexpansive type fuzzy mappings

... for sequences of fuzzy mappings which generalize the results in In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and show that a sequence of fuzzy mappings w[r] ... See full document

... of nonexpansive maps, the class of asymptotically non- expansive mappings was introduced by Goebel and Kirk [1] in 1972, who proved that if K is a nonempty bounded closed convex subset of a real uniformly ... See full document

... We next apply our result for finding a common element of a fixed point set of a relatively nonexpansive mapping and the solution set of an equilibrium problem. This problem is extensively studied in ... See full document

... to mappings on a metric space endowed with a ...G-nonexpansive mappings on ...multivalued mappings defined on a metric space with a ...fixed points for multivalued mappings on a ... See full document

... Corollary 3.2. Let X be a real uniformly convex Banach space which admits a weakly sequentially continuous duality mapping J from X to X ∗ and C a nonempty closed convex subset of X. Suppose that T : C → C is a ... See full document

... commutative nonexpansive mappings S and T and proved that the iterations converge strongly to a common fixed point of S and ...be nonexpansive mappings of C into itself such that ... See full document

... in fuzzy mathematics was instigated by Weiss [], Butnariu [], Singh and Talwar [], Estruch and Vidal [], Wang et ...of fuzzy contraction mappings and established the fuzzy Banach ... See full document

... for nonexpansive and related mappings has played a fundamental role in many aspects of nonlinear functional analysis for many ...pointwise nonexpansive mapping was introduced and studied in 1, ... See full document

... Main Results In this section, we prove weak and strong convergence theorems of the iterative scheme 1.1 for a finite family of nonexpansive mappings in a uniformly convex Banach space.. [r] ... 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 following ... See full document

... a common element of the set of common fixed points of a family of infinitely nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly ... See full document

... a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely many nonexpansive mappings, and the set of solutions of ... See full document

... In this paper, we introduced g-I,-contractive type fuzzy mappings and defined the concept of the fuzz hybrid fixed point for fuzzy mappings, proved common fuzzy hybrid fixed point theore[r] ... See full document

... Corollary 3.3. Let E be a strictly convex and uniformly smooth Banach space whose norm is uniformly Gˆateaux di ff erentiable and let C be a closed convex subset of E . Let S and T be nonexpansive mappings ... See full document

... Proof By Theorem . and Lemma ., we have F(T ) is nonempty, closed, and convex. By the commutative of S and T , we have Sx = S(Tx) = T (Sx), and hence Sx ∈ F(T) for all x ∈ F(T ). Therefore, S : F(T ) → F(T). Since E ... See full document

... A fixed point theorem for two quasi-nonexpansive mappings is proved and is then extended for a finite family of mappings It is shown that results of this paper reduces to those of Ishika[r] ... See full document

... the mappings f and g in Examples ...noncompatible mappings. However, in the case of noncompatible mappings there is an alternative method of proving the existence of fixed points 6, 7, ... See full document

... In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain conditions.. 2000 Mathematics Subje[r] ... See full document

... single-valued mappings to multi-valued ...obtained common fixed theorems for Chatterjea type fuzzy mappings on closed ball in a complete metric ...that fuzzy fixed ... See full document

... nonempty common 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 ... See full document