[PDF] Top 20 Viscosity iterative algorithms for variational inequality

... classical variational inequality ...a viscosity approximation algorithm for variational inequality problems and fixed point set of nonexpansive ... See full document

... the variational analysis, in particular, in the optimization theory and mechanics; see, ...of algorithms for solving this problem are essentially projection algorithms that employ projections onto ... See full document

... hybrid viscosity iter- ative algorithms involve a ρ-contractive self-mapping Q, a k-strictly pseudo-contractive self-mapping S and several parameter sequences, they are more flexible, more advanta- geous and ... See full document

... a variational inequality problem which is defined over the set of intersections of the set of fixed points of a ζ -strictly pseudocontractive mapping, the set of fixed points of a nonexpansive mapping and the ... See full document

... ative algorithms and two explicit iterative algorithms by hybrid viscosity approximation methods for finding a common element of the set of solutions of GSVI ...the inequality in uniform ... See full document

... years, variational inequalities have been generalized and extended in many different direc- tions using novel and innovative techniques to study wider classes of unrelated problems in mechanics, physics, ... See full document

... 36. Wittmann, R: Approximation of fixed points of non-expansive mappings. Arch. Math. 58, 486-491 (1992) 37. Moudafi, A: Viscosity approximation methods for fixed-points problems. J. Math. Anal. Appl. 241, 46-55 ... See full document

... some algorithms for finding a common element of the set of solutions of an equilibrium problem, the set of fixed points of a nonexpansive mapping and the set of solutions of a variational ...construct ... 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 ... See full document

... mapping. Variational inequality theory has emerged as an important tool in studying a wide class of obstacle, unilateral, free, moving, equilibrium problems arising in several branches of pure and applied ... See full document

... years, variational inequalities have been generalized and extended novel and new tech- niques in several ...various iterative algorithms for solving variational inequalities and related ... 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

... In this paper, we introduce a viscosity iterative algorithm for finding a common element of the set of solutions of a general variational inequality (.) and the set of fixed points of a ... See full document

... of variational inequalities ...generalized variational in- equalities are investigated based on a composite approximate iterative algorithm in this ... See full document

... Moudafi’s viscosity approx- imation method, two iterative algorithms are constructed for finding a common solution of split variational inclusion problem and fixed point problem of infinite ... See full document

... an iterative scheme by the viscosity iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, and the ... See full document

... explicit iterative methods for construction of the solution of the monotone variational in- equality problem and prove that our algorithms converge strongly to the minimum-norm solution of ... See full document

... Antipin, Iterative gradient prediction-type methods for computing fixed points of extremal mapping, Parametric Optimization and Related Topics, IV (Enschede, 1995) ... See full document

... the viscosity approximation ...the viscosity technique to the implicit midpoint rule for nonexpansive mappings and proposed the following viscosity implicit midpoint rule ... See full document

... Extragradient-type algorithms have been extensively studied in the literature; see [– ...Various algorithms for solving the multi-valued variational inequality have been ex- tensively studied ... See full document