[PDF] Top 20 An iterative algorithm for hierarchical fixed point problems for a finite family of nonexpansive mappings

... Throughout this paper, we assume that H is a real Hilbert space whose inner product and norm are denoted by ·, · and · , respectively. We also assume that T : H → H is a nonexpansive operator, that is, Tx – Ty ≤ x ... See full document

... multi-step iterative algorithm with bounded errors (1.1) for a finite family of generalized asymptotically quasi-nonexpansive map- pings to converge to common fixed points in ... See full document

... solution problems of the generalized variational inequalities, projection methods which link solution problem of variational inequalities and fixed point problems of nonlinear operators are ... See full document

... The set of solutions of (.) is denoted by EP(F). Given a mapping A : C → H, let F(y, u) = Ay, u – y for all y, u ∈ C. Then z ∈ EP(F) if and only if Az, u – z ≥  for all u ∈ C. Nu- merous problems in physics, ... See full document

... Numerous problems in physics, optimization, and economics reduce to find a solution of ...an iterative scheme of finding the best approximation to initial data when EPφ is nonempty and proved a strong ... See full document

... new iterative process with a finite family of quasi-φ-nonexpansive mappings for a finite family of equilibrium problems and a finite family of ... See full document

... convergence problems of an implicit (or nonimplicit) itera- tive process to a common fixed point for a finite family of asymptotically nonexpansive mappings (or ... See full document

... an algorithm for nonself-mappings and to obtain a strong convergence theorem to a fixed point of a family of nonself nonexpansive mappings in Banach spaces more general ... See full document

... hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational ... 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

... hybrid iterative algorithm for finding a common ele- ment of the set of common fixed points of a finite family of uniformly asymptotically nonexpansive semigroups and the set of ... See full document

... infinite family of nonexpansive mappings. But our iterative sequence ...infinite family of nonexpansive mappings and we have no any restriction with the infinite ... See full document

... fixed point of a nonex- pansive operator and a solution of split hierarchical variational inequality ...such algorithm is ...proposed algorithm and the convergence ... See full document

... general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong ...new iterative method ... See full document

... proximal point algorithm to solve the pro- blem of finding a common fixed point of a finite family of nonexpansive self-mappings in a uniformly convex and uniformly ... See full document

... implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded ... See full document

... called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided that Tx ...of fixed points of T ... See full document

... equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping generated by a finite family of nonexpansive ... See full document

... Fixed point iterations process for nonexpansive mappings and asymptotically nonexpansive mappings in Banach spaces including Mann and Ishikawa iterations process have been ... See full document

... It is worth mentioning that the methods studied above are used to approximate the fixed point of T which is closest to the point u ∈ K . These methods can be used to find the minimum-norm fixed point x ... See full document