[PDF] Top 20 Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems

... projection iterative method for solving the variational inequality ...this iterative method requires that the operator A must be strongly monotone and Lipschitz ...important problems arising ... See full document

... standard iterative methods for solving ...finite-dimensional optimization problems, cannot guarantee strong convergence of their iteration sequences to a solution of the initial problem ... See full document

... The purpose of this paper is to answer the question mentioned above. In order to re- alize this objective, we first establish a new existence and uniqueness theorem for MVIP (.), where F : C → H is a hemicontinuous and ... See full document

... To some extent, we can say that Theorem ...practical problems in applied sciences such as signal processing and image reconstruction are formulated as the problem of Ax = ...for solving those ... See full document

... an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been ...under some mild conditions, the sequence generated by the presented algorithm ... See full document

... generalized equilibrium problem. In this article, we mixed and modified the iterative methods ...viscosity iterative method: x  , u n ∈ C ... See full document

... for solving the equilibrium problem EP, Moudafi 23 presented a new iterative algorithm and proved a weak convergence ...another iterative algorithm for finding an element of FixS ∩ ...for ... See full document

... Another important feature of these methods is linearity and nonlinearity. In case of a linear method, the left hand side of the low-order equations contains the solution at the current iteration, but the right ... See full document

... Let H be a real Hilbert space with inner product ·, · and norm · , respectively. Let K be a nonempty closed convex subset of H. Let A : K → H be a nonlinear mapping and F : K × K → R be a bi-function, where R denotes the ... 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 Hilbert ... See full document

... mixed equilibrium problems include fixed-point problems, optimiza- tion problems, variational inequality problems, Nash equilibrium problems, and equilibrium ... See full document

... several problems in physics, optimization, and economics reduce to find a solution of ...[1,2]), some authors had proposed some methods to find the solution of equilibrium ... See full document

... complementarity problems and variational inequalities,” in Handbook of Generalized Convexity and Generalized Monotonicity, ...Nonconvex Optimization and Its Applications, ... See full document

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

... within the model is used for calculating the optimum [10]. The updating mechanism of this algorithm plays an important role in determining the convergence rate of the algorithm. In an earlier paper [1], the updating ... See full document

... 10 I. Yamada, “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ... See full document

... bilevel equilibrium problems were introduced by Chadli et ...of problems is very important and inter- esting because it is a generalization class of problems such as optimization ... See full document

... Recently, in order to study the problem (1.3) coupled with the fixed point problem, many authors have introduced some iterative schemes for finding a common element of the set of the solutions of the ... See full document

... the equilibrium problem ...of problems arising in numerous problems in physics, optimizations, and ...economics. Some methods have been rapidly established for solving this ... See full document

... in solving the variational inequality problems is the approximation ...methods. Some approx- imation methods for solving variational inequality problems and the related ... See full document