[PDF] Top 20 Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings

... nonexpansive mappings and a strictly pseudocontractive mapping, and a countable family of uniformly k -strictly pseudocontractive mappings and an inverse strongly monotone ... See full document

... and strong convergence theorems for finding common fixed points of a countable family of nonexpansive mappings in a real Hilbert ...many convergence ... See full document

... of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings,” Nonlinear Analysis: Theory, Methods & ... See full document

... prove strong convergence theorems for the unique solution of the variational inequality VIK, ...a family of nonexpansive mappings ... See full document

... mon fixed points of a family of nonexpansive mappings and proved strong convergence theorems by using the Mosco convergence technique in a uniformly convex ... See full document

... common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse ... See full document

... Equilibrium theory plays a central role in various applied sciences such as physics, me- chanics, chemistry, and biology. In addition, it represents an important area of the math- ematical sciences such as optimization, ... See full document

... for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, ...“Strong convergence theorems for a generalized equilibrium problem ... See full document

... the strong convergence theorems for finding common fixed points of a countable family of hemi-relatively nonexpansive mappings in a uniformly convex and ... See full document

... for all x, y ∈ C. Evidently, the definition of the inverse strongly accretive operator is based on that of the inverse strongly monotone operator. To convey an idea of the variational inequality, let C be a closed ... See full document

... of T this is also valid in a uniformly convex Banach space with the Fr´echet differentiable norm 4. In an infinite-dimensional Hilbert space, the normal Mann iteration algorithm has only weak convergence, in ... See full document

... common fixed point of a countable family of relatively nonexpansive mappings in a Banach ...several convergence theorems announced by many authors but also prove them ... See full document

... Recently, hybrid projection algorithms have been studied for the fixed point problems of nonlinear mappings by many authors; see, for example, 8–24. In 2006, Martinez-Yanes and Xu 10 proposed the following ... See full document

... Let D be a nonempty closed subset of a real Banach space X. A mapping T : D → D is said to be nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ D. An element p ∈ D is called a fixed point of T : D → D if p = T(p). The ... See full document

... common fixed points of a sequence of nonexpansive mappings and a representation of nonexpansive ...the strong convergence of the proposed implicit schemes to the unique ... See full document

... a family of generalized asymptotically quasi-φ -nonexpansive ...A Strong convergence theorem is established in a uniformly smooth and strictly convex Banach space which also enjoys the ... See full document

... nonexpansvie mappings is a natural generalization of the important class of nonexpansive ...approximating fixed points of asymptotically nonexpansive mappings have been ... See full document

... The purpose of this paper is to propose a modified hybrid method in mathematical programming and to obtain some strong convergence theorems for common fixed points of a countable ... See full document

... is nonexpansive if Tx − T y ≤ x − y for all x, y ∈ ...a fixed point of T provided Tx = x . Denote by F ( T ) the set of fixed points of T , that is, F(T) = { x ∈ C : Tx = x } ... See full document

... Throughout this paper, we assume that H is a real Hilbert space with inner product and norm are denoted by 〈. , .〉 and || . ||, respectively, and let C be a nonempty closed convex subset of H. A mapping T of C into ... See full document