[PDF] Top 20 Iterative algorithms for monotone inclusion problems, fixed point problems and minimization problems

... explicit iterative schemes for finding a common element of the set of fixed points of k-strictly pseudocontractive mapping and the set of zeros of the sum of two monotone operators in a Hilbert ...common ... See full document

... monotone inclusion problems, saddle point problems, variational inequality problems, minimization problems, the Nash equilibria in noncooperative games, vector ... See full document

... cover monotone inclusion problems, saddle point problems, variational inequal- ity problems, minimization problems, vector equilibrium problems, Nash ... See full document

... equilibrium problems have been applied to solve convex minimization problems see ...the fixed points of a nonexpansive mapping on a real Hilbert space ... See full document

... A nonlinear operator V : H → H is called Lipschitzian continuous if there exists L >  such that Vx – Vy ≤ L x – y for all x, y ∈ H. Such V is also called L-Lipschitzian continuous. We know the following three lemmas ... See full document

... Abstract. A new class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings in a Banach space setting is introduced, and then based on the generalized resolvent operator technique ... See full document

... An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal ... See full document

... Recently, motivated by the work of Takahashi and Zembayashi [], Cholamjiak [] in- troduced a new hybrid projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of ... 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

... zero point problem of the sum of a maximal monotone mapping and an inverse-strongly monotone mapping, and the fixed point prob- lem of a nonexpansive ...Mann-type iterative algorithm ... See full document

... new iterative algorithms with variable coefficients for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational inequality problem for a ... See full document

... of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert ...of fixed point ... See full document

... general iterative method for solving a common element of the set of solutions of fixed point for nonexpansive mappings, the set of solutions of generalized mixed equilibrium problems and the set of ... See full document

... Iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, e.g., [7-13] and the references therein. A typical problem is to minimize a ... See full document

... an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely many ... See full document

... Such problems arise in the field of intensity-modulated radia- tion therapy when one attempts to describe physical dose constraints and equivalent uni- form dose constraints within a single ... See full document

... ization, in particular the traditional Tikhonov regularization, is usually used to solve ill- posed optimization problems. The advantage of a regularization method is its possible strong convergence to the ... See full document

... In this paper, we suggested and analyzed an iterative method for finding an element of the common set of solutions of (.) and (.) in real Hilbert spaces. This method can be viewed as a refinement and improvement ... See full document

... general iterative algorithm for finding a common solution of a finite family of mixed equilibrium problems, a general system of generalized equilibria and a fixed point problem of nonexpansive mappings ... See full document

... equilibrium problems, the set of solutions of the variational inclusions with set-valued maximal monotone mappings and inverse-strongly monotone mappings, and the set of fixed points of a ... See full document