[PDF] Top 20 A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators

... where A is an operator from E into E*, such that v Î E is called a zero point of A, i. e., A -1 0 = {v Î E : Av = 0}. Such a problem contains numerous problems in economics, optimization and physics. Many ... See full document

... a new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of ... See full document

... pseudo-contractive mappings and the set of solutions of an equilibrium problem for a pseudomonotone, Lipschitz-type continuous ...proposed scheme, to the solution of the variational ... See full document

... for all x, y ∈ C. We call such a mapping an (α, β )-generalized hybrid mapping. Kocourek, Takahashi and Yao [] proved a fixed point theorem for such mappings in a Hilbert space. Furthermore, they proved a ... See full document

... an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpan- sive mappings in a Hilbert ... See full document

... a new algorithm based on hybrid and extragradient method to find a common element of the set of solutions to a system of equilibrium problems, the set of fixed points of a nonexpansive ... See full document

... a new iterative scheme for finding a common element of infinitely nonexpansive mappings, the set of solutions of a mixed equilibrium problems, and the set of solutions of ... See full document

... general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in ... See full document

... is monotone, that is, fx, y fy, x ≤ 0, ∀x, y ∈ C; A3 limsup t↓0 fx tz − x, y ≤ fx, y, ∀x, y, z ∈ C; A4 the function y → fx, y is convex and lower ...two new hybrid proximal-type Algorithms ... See full document

... asymptotically nonexpansive mappings in Hilbert ...the iterative sequence converges strongly to a fixed point of an asymptotically nonexpansive ...a new hybrid iterative ... See full document

... a new iterative process is introduced to approximate a common element of a fixed point set, the solutions of equilibrium problems, the solution set of variational inequality ... See full document

... hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for nonexpansive ... See full document

... a new hybrid iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium ... See full document

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, ...the fixed points of a non- expansive mapping on a real Hilbert space ... See full document

... a new iteration scheme for finding a common of the solution set of monotone, Lipschitz-type continuous equilibrium problems and the set of fixed points of a nonexpansive ... See full document

... One can see that the variational inequality (.) is equivalent to a fixed point problem of the mapping Proj C (I – rA), where I is the identity and r is some positive real number. The element u ∈ C is a solution ... See full document

... Lemma . [] Let E a real reflexive Banach space with the uniformly Gâteaux differ- entiable norm and the normal structure, and C be a nonempty closed convex subset of E. Let S : C → C be a nonexpansive mapping ... See full document

... This section collects some definitions and lemma which be use in the proofs for the main results in the next section. Some of them are known; others are not hard to derive. Let A : C → H and G : C → C be a nonlinear ... See full document

... Fixed point theory of nonlinear mapping is a popular research topic of common interest in two areas of nonlinear analysis and ...fixed point techniques have been applied in such diverse fields as ... See full document

... Recall that a closed convex subset C of a Banach space E is said to have the normal structure if for each bounded closed convex subset K of C which contains at least two points, there exists an element x of K which is ... See full document