[PDF] Top 20 The Methods of Hilbert Spaces and Structure of the Fixed-Point Set of Lipschitzian Mapping

... the methods of Hilbert spaces, we establish some result on the structure of fixed point sets for mappings with lipschitzian iterates in a Hilbert ...with ... See full document

... the set of fixed point problem and the set of equilibrium problem in Hilbert spaces, for instance, [2, 3, ...the set of fixed points of strictly pseudocontractive ... See full document

... to a fixed point of T. Meanwhile, to obtain the strong con- vergence results, it is necessary to apply some regularizing procedures. In 2000, Moudafi [19] proposed the viscosity approximation method which ... See full document

... A mapping T on C is said to be nonexpansive if Tx–Ty ≤ x– y for all x, y ∈ ...nonexpansive mapping on C has a fixed ...normal structure or Opial’s ...nonexpansive mapping on C has a fixed ... See full document

... fixed point in partially ordered metric spaces and proved some interesting coupled fixed point theorems for a mapping satisfying the mixed monotone ...fixed point (see ...fixed point ... See full document

... fixed point theorem of nonlinear operators in an ordered Banach space by using topological methods and partial ordered methods (see [–] and references ...fixed point theorem in Hilbert ... See full document

... Let G be a semitopological semigroup, i.e., a semigroup with a Hausdorff topology such that, for each a ∈ G, the mapping t → a · t and t → t · a from G onto itself are continuous. A semitopological semigroup G is ... See full document

... We introduce a general iterative scheme by the viscosity approximation method for find- ing a common element of the set of solutions of an equilibrium problem and the set of fixed points of a ... See full document

... convex set always has a unique fixed point (with convergence of Picard ...nonexpansive mapping and proved that every pointwise asymptotically nonexpansive mapping defined on a closed convex ... See full document

... real Hilbert space, and let C be a nonempty closed convex subset of ...a mapping T : C ® C is said to be nonexpansive if || Tx - Ty || ≤ || x - y || for all x , y Î C ...The set of fixed ... See full document

... fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point ... See full document

... the set of solutions of a split variational inclusion and the set of common fixed points of one-parameter nonexpansive semigroups, which also solves a class of variational inequalities as an optimality ... See full document

... Fixed points iterative technique for (self or nonself) asymptotically nonexpansive mappings in Banach spaces, including Mann type iteration, Ishikawa type iteration, and three-step type iteration, have been ... See full document

... fuzzy set which is characterized by a membership function that assigns a grade of membership ranging from 0 to 1to each of its ...the set of fuzzy ...the set of fuzzy ... See full document

... quasi-nonexpansive mapping, T is not non- spreading, TY , hybrid, λ-hybrid, (α, β )-generalized hybrid, and ...b)-monotone mapping is not necessary to be a quasi-nonexpansive mapping, TY ... See full document

... In this paper, we introduce an general iterative algorithm for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and of the set of solutions to ... See full document

... of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity; see, ...metric spaces and it is introduced by Dhage [13] and ...D-metric ... See full document

... Kumam, Fixed point theorems for contraction mapping in modular metric spaces, Fixed Point Theory and Applications, (2011)", the authors have studied and introduced some ... See full document

... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ... See full document

... Natural chrysanthemic acid has a trans-isobutenyl group at C-3 on the cyclopropane ring, but other substituents there produce greater or more rapid action.. Even with no substituents at [r] ... See full document