[PDF] Top 20 Nonlinear Mean Ergodic Theorems for Semigroups in Hilbert Spaces

... proved nonlinear ergodic theorems where the closed- ness and convexity of K and the asymptotically nonexpansivity of T were not ...weak ergodic theorem for semigroups of mappings on K ... See full document

... In this paper, we propose two new algorithms for finding a common fixed point of a nonexpansive semigroup in Hilbert spaces and prove some strong convergence theorems for nonexpansive ... See full document

... On the other hand, Moudafi 3 introduced the viscosity approximation method for nonexpansive mappings see 4 for further developments in both Hilbert and Banach spaces. Let f be a contraction on H such that ... See full document

... Let C be a closed convex subset of a Hilbert space E. A mapping T on C is called a nonexpansive mapping if Tx − Ty ≤ x − y for all x, y ∈ C. We denote by FT the set of fixed points of T . Browder, see 1, proved ... See full document

... Using δ-strongly accretive and λ-strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert space, with ... See full document

... first nonlinear ergodic theorem for nonexpansive mappings in the framework of Hilbert ...various semigroups in Hilbert spaces [–] or Banach spaces ...the ergodic ... See full document

... a nonlinear ergodic theorem for nonexpansive mappings in Hilbert ...Baillon’s ergodic theorem have been obtained since then; see, for instance, [–] and the references ...semitopological ... See full document

... Cianciaruso, F, Marino, G, Muglia, L: Iterative methods for equilibrium and fixed point problems for nonexpansive semigroups in Hilbert spaces.. Xu, HK: Iterative algorithms for nonlinear[r] ... See full document

... Suzuki, “On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces,” Proceedings of the American Mathematical Society , vol. Xu, “A strong convergence the[r] ... See full document

... point theorems and nonlinear ergodic theorems of Baillon type [] for such widely more generalized hybrid mappings in a Hilbert ...point theorems to solve the above ... See full document

... for all x , y Î C . Kohsaka and Takahashi [6] extended Theorem 1.2 for nonspreading mapping in Hilbert spaces. In 2010, Takahashi [7] extended Ray’s type theorem for nonspreading mapping in Hilbert ... See full document

... [8] W. A. Kirk, Fixed point theory for nonexpansive mappings. II, Fixed points and nonexpan- sive mappings (Cincinnati, Ohio, 1982) (Providence, R.I.) (R. C. Sine, ed.), Contemp. Math., vol. 18, Amer. Math. Soc., 1983, ... See full document

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

... the nonlinear functional differential equa- tions with a nonlinear hemicontinuous and coercive operator A and a nonlinear term f (·, ·): x (t) + Ax(t)+ ∂φ(x(t)) f (t,x(t))+h(t) is ... See full document

... of nonlinear operators in an ordered Banach space by using topological methods and partial ordered methods (see [–] and references ...in Hilbert spaces with lattice structure by applying ... See full document

... type is a natural and still open question. Li and Sims 4 proved the following fixed point result in the case that E has uniform normal structure It is known that a space with uniform normal structure is reflexive and ... See full document

... point theorems in metric spaces satisfying different contraction condition may be extended to the abstract spaces like Hilbert, Banach and Locally convex spaces with some ...in ... See full document

... Corollary . Let C be a nonempty closed convex subset of a real Hilbert space H. Let F be a bifunction from C × C to R which satisfies (A)-(A). Let A : C → H be an α -inverse- strongly monotone mapping, and let ... See full document

... -convergence theorems of Mann type to the set of attractive points of normally generalized hybrid mappings in CAT(0) ...of Nonlinear and Convex Analysis 15:1087-1103, 2014, Theorem ... See full document

... On the other hand, iterative approximation methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 9–11 and the references therein. Let H be a real ... See full document