[PDF] Top 20 A new extragradient-like method for solving variational inequality problems
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A new extragradient-like method for solving variational inequality problems
... The rest of this article is organized as follows. In Section , some preliminaries are stated and an extragradient-like method is proposed. In Section , the global convergence and the local ... See full document
14
Self adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi nonexpansive fixed point problems
... The variational inequality problem is an important branch of the nonlinear problem and it has received a lot of attentions by many authors in recent years (see [1–3] and the references ...for solving ... See full document
19
A Hybrid Extragradient Method for Solving Ky Fan Inequalities, Variational Inequalities and Fixed Point Problems
... a new hybrid extragradient iterative method for finding a common element of the set of points satisfying the Ky Fan inequalities, variational inequality and the set of fixed points of a ... See full document
6
A modified subgradient extragradient method for solving monotone variational inequalities
... The variational inequality problem VI(C, f ) has re- ceived much attention due to its applications in a large variety of problems arising in struc- tural analysis, economics, optimization, operations ... See full document
14
Solving Semi-Infinite Variational Inequalities
... of variational inequality problems to approximate the solution of SIVI(X, F ...nonlinear problems with by taking a few discretization ...a new smoothing function for the max{0, x} ... See full document
126
On the \(O(1/t)\) convergence rate of the alternating direction method with LQP regularization for solving structured variational inequality problems
... direction method more practical, see, for example, [–] and the references ...via solving (.)-(.) and the new iterate is obtained by a convex com- bination of the previous point and the one ... See full document
14
On LQP alternating direction method for solving variational inequality problems with separable structure
... a new LQP-based prediction-correction method; the new iterate is obtained by a convex combination of the previous point and the one generated by a projection-type method along another descent ... See full document
15
A Relaxed Explicit Extragradient-Like Method for Solving Generalized Mixed Equilibria, Variational Inequalities and Constrained Convex Minimization
... plicit extragradient-like scheme for finding a common element of the set of solutions of the minimization problem for a convex and continuously Fr´ echet dif- ferentiable functional, the set of solutions of ... See full document
5
Parallel LQP alternating direction method for solving variational inequality problems with separable structure
... direction method for structured variational ...by solving series of related systems of nonlinear equations, and the new iterate is obtained by a convex combination of the previous point and ... See full document
14
An algorithm for solving a multi valued variational inequality
... a new extragradient method for solving a multi-valued variational ...the method converges globally to a solution of the multi-valued variational inequality, ... See full document
9
On the weak convergence for solving semistrictly quasi monotone variational inequality problems
... of variational inequalities serves as a powerful mathematical tool, which unifies important concepts in applied mathematics like systems of nonlinear equations, optimality conditions for optimization ... See full document
11
Iterative methods for solving a class of monotone variational inequality problems with applications
... 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 ... See full document
17
An extragradient-like approximation method for variational inequalities and fixed point problems
... s extragradient method [6], Nadezh- kina and Takahashi [7] introduced an iterative scheme, called extragradient method, for finding an element of F(S) ∩ Ω and established the weak convergence ... See full document
18
An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
... a new extragradient method for finding a common element of the set of fixed points of a nonex- pansive mapping and the set of solutions of the variational inequality problem for mono- ... See full document
12
RBF-Chebychev direct method for solving variational problems
... direct method for solving variational prob- lems via a set of Radial basis functions (RBFs) with Gauss-Chebyshev collocation ...The method consist of reducing a variational problem into ... See full document
9
Topological fixed point theory and applications to variational inequalities
... of variational inequalities as a tool for solving boundary value problems owes much to the pioneering work of ...links variational inequalities to the minimization of energy functionals and ... See full document
26
Finding Common Solutions of a Variational Inequality, a General System of Variational Inequalities, and a Fixed-Point Problem via a Hybrid Extragradient Method
... the variational inequality 1.1 is denoted by VIA, C. Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of ... See full document
22
The hybrid steepest descent method for solving variational inequality over triple hierarchical problems
... 3. Yao, JC, Chadli, O: Pseudomonotone complementarity problems and variational inequalities. In: Crouzeix, JP, Haddjissas, N, Schaible, S (eds.) Handbook of Generalized Convexity and Monotonicity, pp. ... See full document
17
An inexact alternating direction method with SQP regularization for the structured variational inequalities
... via solving the SQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed directly by an explicit formula derived from the original SQP ...proposed ... See full document
21
The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
... to solving fixed point problems of strict pseudocontractive mappings, variational inequality problems in Banach spaces and equilibrium problems in Hilbert ... See full document
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