[PDF] Top 20 Convergence of Iterative Sequences for Fixed Point and Variational Inclusion Problems

... Theorem YY. Let C be a closed convex subset of a real Hilbert space H. Let A be an α-inverse- strongly monotone mapping of C into H, and let S be a nonexpansive mapping of C into itself such that FS ∩ Ω / ∅, where Ω ... See full document

... Variational inclusion has become rich of inspiration in pure and applied ...classical variational inclusion problems have been extended and generalized to study a large variety of ... See full document

... strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational ... See full document

... Let C be a nonempty closed convex subset of a real Hilbert space H with the inner prod- uct ·, · and the norm · , respectively. A mapping S : C → C is said to be nonexpansive if Sx – Sy ≤ x – y, ∀x, y ∈ C. If C is ... See full document

... general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many nonexpansive mappings ... See full document

... an iterative scheme of finding the best approximation to initial data when EPΦ is nonempty and proved a strong convergence ...some iterative algorithms for solving equi- librium problems in ... See full document

... of variational inequalities (2.1), (2.2), and in the fixed point set of nonex- pansive ...direction, fixed point problems of nonexpansive mappings and solution problems of ... See full document

... an iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium prob- lem, and the solution set of the variational inequality ... See full document

... the variational inequality. The mixed equilibrium problems include fixed point problems, variational inequality problems, optimization problems, Nash equilibrium ... See full document

... hybrid iterative scheme ...librium problems and the set of common fixed points of a sequence of nonexpansive ...of variational inequalities under some mild ... See full document

... several iterative schemes for zeros of monotone operators, variational inequality problems, generalized equilibrium problems, convex minimization problems, and fixed point ... See full document

... Theorem 3.2. Let C be a nonempty closed convex subset of H. Let F be a bifunction from C × C to R satisfying (A1)–(A4) and let S be a nonexpansive mapping of C into H. Let A : C → H be an α- inverse strongly monotone ... See full document

... strong convergence theorem of Halpern’s type [] for finding a common solution of a monotone inclusion problem for the sum of two monotone mappings, of a fixed point problem for nonexpansive mappings ... See full document

... inequality problems have emerged as an effective and powerful tool for studying a wide class of problems which arise in economics, finance, image reconstruc- tion, ecology, transportation, and ...on ... See full document

... new iterative scheme for finding a common element of the set of solutions to the inclusion problem and the set of fixed points of nonexpansive mappings in Hilbert ...another iterative scheme by the ... See full document

... 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 the inclusion ...Strong ... See full document

... the iterative methods for finding hierarchical fixed points of non- expansive mappings can also be used to solve a convex minimization problem; see, for example, [, ] and the references ... See full document

... y – S n y  , ∀ n ≥ , ∀ x, y ∈ C. They studied weak and strong convergence theorems for this class of mappings. It is important to note that every asymptotically k-strict pseudocontractive mapping with se- quence ... See full document

... three-step iterative method for finding a common element in the set of fixed points of a non-expansive mapping and in the set of solutions of the variational inequality problem ... See full document

... hierarchical fixed point approach to variational inequalities,” Bulletin of the Australian Mathematical Society, ...“Strong convergence of an iterative method for hierarchical ... See full document