[PDF] Top 20 General viscosity approximation methods for quasi nonexpansive mappings with applications

... (SFP). Moudafi [6] introduced an iteration process to establish a weak convergence the- orem for split equality feasibility problem under suitable assumptions. The (SEFP) has many applications such as decomposition ... See full document

... Our objective in this paper is to introduce the concept of weakly quasi-nonexpansive mappings with respect to a sequence. Mainly, we establish some convergence theorems of a sequence in complete ... See full document

... nonlinear mappings such as the directed mappings, the quasi-nonexpansive mappings, and the strictly pseudo-contractive map- pings with fixed points as special ... See full document

... [1] M. A. Ahmed and F. M. Zeyad, “On Convergence of a Sequence in Complete Metric Spaces and its Applications to Some Iterates of Quasi-Nonexpansive Mappings,” Journal of Mathematical Analysis ... See full document

... a nonexpansive mapping of C into itself, then Fix(T ) is nonempty ...For approximation of fixed points of a nonexpansive mapping, researchers use some ...theory, approximation methods ... See full document

... contractive mappings and obtain strong convergence theorem for approximating fixed point of a non- expansive ...family nonexpansive mappings, which is also a unique solu- tion for the variational ... See full document

... In this section, we present strong convergence theorems of Moudafi’s viscosity methods in CAT() spaces. Our first result is the continuous version of Theorem . of Shi and Chen []. By using the concept of ... See full document

... We prove strong convergence of the viscosity approximation method for multivalued nonexpansive mappings in CAT(0) spaces. Our results generalize the results of Dhompongsa et al. (2012), ... See full document

... for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...a nonexpansive mapping, and A be a strongly positive and linear bounded operator ... See full document

... the viscosity approximation method ...new general iterative methods in a reflexive Banach space E which admits a weakly continuous duality mapping J ϕ with gauge ... See full document

... new viscosity approximation method by using the shrinking projection algorithm to approximate a common fixed point of a countable family of nonlinear mappings in a Banach ...for ... See full document

... a viscosity iterative method by selecting a particular fixed point of a given nonexpansive ...so-called viscosity iterative method has been studied by many authors (see, for example, [, ...These ... See full document

... the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of ... 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

... Let H be a real Hilbert space and let C be a nonempty closed convex subset of H. Recall that a mapping T : C → C is said to be nonexpansive if Tx−Ty ≤ x−y, for all x, y ∈ C. We use FT to denote the set of fixed ... See full document

... The following is a coincidence point theorem for condensing nonself-set-valued maps. Corollary 3.4. Let M be a hyperconvex metric space and X be a nonempty admissible subset of M. Assume the mappings F, G are ... See full document

... Moudafi’s viscosity approximation methods for approximating a common fixed point of a one-parameter continuous semigroup of nonexpansive mappings in CAT(0) ...of nonexpansive ... See full document

... Let H be a real Hilbert space, let F be a -Lipschitzian and h-strongly monotone operator on H with k > 0, h > 0, and let T be a quasi-nonexpansive mapping on H, and f is a L-Lipschitzian mapping with ... See full document

... The purpose of this paper is to study the strong and weak convergence problems of the implicit iteration processes for an infinite family of Lipschitzian pseudocontractive mappings in Banach spaces. The results ... See full document

... Moudafi’s viscosity approximations with the weak contraction, and give the estimate of convergence rate between Halpern’s type iteration and Mouda’s viscosity approximations with the weak ... See full document