[PDF] Top 20 Strong Convergence Theorems of the General Iterative Methods for Nonexpansive Semigroups in Banach Spaces

... a Banach space E admits a sequentially continuous duality mapping J from weak topology to weak star topology, then from Lemma 1 of 18, it follows that the duality mapping J is single-valued and also E is ... See full document

... modified general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups, which is a unique solution of some variational ...the strong ... See full document

... of nonexpansive mappings (asymptot- ically nonexpansive mappings) and of common fixed points of nonexpansive semi-groups (asymptotically nonexpansive semigroups) is an important problem ... See full document

... asymptotically nonexpansive semi- group ϕ = {T (s) : s ∈ S} on compact convex subset C of a smooth Banach space E with respect to finite family of left strongly asymptotically invariant sequences { μ i,n } ... See full document

... convex Banach space which admits a weakly con- tinuous duality mapping J with gauge such that is invariant on [0, ...a nonexpansive semigroup from C into itself such that F(S) = ... See full document

... implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly con- vex Banach space which satisfies ... See full document

... the convergence of iterative algo- rithms for quasi-φ-asymptotically nonexpansive (see [–]) and total quasi-φ-asymptoti- cally nonexpansive (see [–]) ...obtain strong ... See full document

... one-parameter nonexpansive semigroup in a Banach space under some appropriate control ...proved strong convergence theorems of the iterative scheme which solve some variational ... See full document

... hybrid iterative algorithm with the help of our method for the class of nonexpansive ...prove strong conver- gence and weak convergence theorems in the framework of Banach ... See full document

... for all x, y ∈ C. We denote by F(T) the set of fixed points of T . We know F(T) = ∅ in the case that E is uniformly convex and C is bounded; see Browder [2], G¨ohde [9], and Kirk [13]. Common fixed point theorems ... See full document

... reflexive Banach space with a uniformly Gˆateaux differentiable norm such that each nonempty bounded closed and convex subset of E has the common fixed point property for nonexpansive mappings note that all ... See full document

... an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the ... See full document

... sunny nonexpansive retract of C if there exists a sunny nonexpansive retraction Q of C onto ...sunny nonexpansive retraction is a sunny retraction, which is also ...Sunny nonexpansive ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... The purpose of this paper is to introduce and study two new iterative methods for finding a common element of the solution set EP of generalized equilibrium problem 1.3 and the set T −1 0 ∩ T −1 0 for ... See full document

... relatively nonexpansive mappings in Banach ...and strong convergence theorems to approximate a fixed point of a single relatively nonexpansive ...the strong ... See full document

... reversible semigroups of asymp- totically nonexpansive ...and convergence of fixed points for left amenable semigroups of asymptotically nonexpansive type mappings in Banach ... See full document

... a strong convergence of the iterative scheme ...for convergence in the case when E is uniformly smooth with a weakly continuous duality ... See full document

... following strong convergence ...convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a nonexpansive mapping with nonempty fixed points set F, and let T be ... See full document

... in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ...“A strong convergence theorem for relatively ... See full document