[PDF] Top 20 Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces

... Let E be a real Banach space and C a nonempty closed convex subset of E. A mapping f : C → C is called k-contraction if there exists a constant 0 < k < 1 such that fx − fy ≤ kx − y for all x, y ∈ C. We use C ... See full document

... introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of ... See full document

... nach spaces which is an analogue of the metric projection in Hilbert ...nach spaces with some property, Zhou and Gao [] introduced a modified hybrid pro- jection iterative algorithm and proved a ... See full document

... x – y – (Tx – Ty), j(x – y) ≥ κ (I – T)x – (I – T )y  . (.) Clearly, the class of pseudo-contractive mappings includes the class of strict pseudo- contractive mappings and non-expansive mappings. ... See full document

... form contractions to more general MKC. Our iterative scheme studied in this article can be viewed as a refinement and modification of the iterative methods in ...infinite countable ... See full document

... general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of k-strictly ... See full document

... general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive ...mappings. Strong convergence theorems are established in ... See full document

... show strong convergence theorems of the modified Mann iteration scheme for λ-strict pseudocontractions with respect to p in p-uniformly convex Banach spaces with uniformly G ... See full document

... new iterative scheme with Meir-Keeler contractions for strict pseudocontractions in q-uniformly smooth Banach ...the strong convergence theorems for the new ... See full document

... explicit iterative methods for finding a common fixed point set of an infinite family of strict pseudo-contractions by the sunny nonexpansive retractions in a real q-uniformly and ... See full document

... Among classes of nonlinear mappings, the class of pseudocontractions is one of the most important classes of mappings. This is mainly due to the fact that there is a precise corresponding relation between the class of ... See full document

... A subset D of X is said to be a retract of X if there exists a continuous mapping P : X → D such that Px = x for all x ∈ X. It is well known that every nonempty closed convex subset of a uniformly convex Banach ... See full document

... Halpern’s iterative methods do find the mini- mum-norm fixed point x* of T if 0 Î ...Halpern’s methods works to find the minimum-norm element ... See full document

... Motivated and inspired by the research going on in the sections of equilibrium prob- lems and split feasibility problems, the purpose of this article is to introduce an iterative algorithm for equilibrium problems ... See full document

... real Banach space E, and let := { T(t) : t ≥ 0 } be a uniformly Lipschitzian with bounded measurable func- tion L(t) : [0, ∞) ® (0, ∞) and total asymptotically strict pseudocontractive semigroup as defined ... See full document

... an iterative scheme based on the viscosity approximation method is utilized to find a common element of the set of com- mon fixed points of a countable family of nonexpansive ...a strong ... See full document

... real Banach space ...Some iterative processes are often used to approximate a fixed point of a nonexpansive ...Mann’s iterative algorithm was introduced by Mann 1 in 1953. This iterative ... See full document

... weak convergence theorem for the alternating method with Bregman distances, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type ... See full document

... asymptotically pseudo-contractions in Hilbert spaces,” Nonlinear Analysis: Theory, Methods & Applications, ...“Strong convergence of the CQ method for fixed point iteration ... See full document

... for all x ∈ E. It is known that E is smooth if and only if the duality mapping J is single valued, and that if E has a uniformly Gâteaux differentiable norm, J is uniformly norm-to- weak ∗ continuous on each bounded ... See full document