Variational Inequality
Convergence theorems of solutions of a generalized variational inequality
... Subsequently, Iiduka and Takahashi [23] further studied the problem of finding solu- tions of the classical variational inequality (1.4) for cocoercive mappings (inverse- strongly monotone mappings) and ...
10
A Classes of Variational Inequality Problems Involving Multivalued Mappings
... Theorem (3-2): Let 4: → 2 6 be a % − Lipschitz continuous and x -strongly monotone multivalued mapping and let 5: → 2 6 be J − Lipschitz continuous multivalued mapping. then multivalued Variational ...
6
An algorithm for solving a multi valued variational inequality
... hyperplane needs computing the supremum and hence is computationally expensive. To overcome this difficulty, [] introduces an extragradient algorithm for solving the multi- valued variational inequality in ...
9
A New Projection Algorithm for Generalized Variational Inequality
... tivalued variational inequalities,” in Generalized Convexity, Generalized Monotonicity and Applications, ...generalized variational inequality in Banach spaces,” Journal of Inequalities and ...
8
On parametric implicit vector variational inequality problems
... vector variational inequality problems, vector comple- mentarity problems, vector optimization problems, and vector saddle point problems; see [–] and the references ...
7
Split hierarchical variational inequality problems and related problems
... The rest of this paper is divided into four sections. In Section , we recall and state preliminaries on numerous nonlinear operators and their useful properties. Section we divide in two subsections, that is, first, we ...
14
A Variational Inequality from Pricing Convertible Bond
... In Section 2, we formulate and simplify the model. In Section 3, we will prove the existence and uniqueness of the strong solution of the parabolic variational inequality 1.4 and establish some estimations, ...
21
An Iterative Scheme with a Countable Family of Nonexpansive Mappings for Variational Inequality Problems in Hilbert Spaces
... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, ...
14
A Variational Inequality Approach to a Class of Environmental Equilibrium Problems
... this variational inequality admits a unique solution e R , (since F r is strictly monotone), which is the norma ed Rosen ui- librium corresponding to the given ...the variational in- equality ...
6
Coderivatives of gap function for Minty vector variational inequality
... Motivated by the work reported in [, ], in this paper, we make an effort to investigate the coderivatives of Minty vector variational inequality problem in general Banach spaces. First, we establish an ...
14
A variational inequality of Kirchhoff type in \(\mathbb{R}^{N}\)
... the variational inequality is discussed in different ways in the case of regional bounded and ...of variational inequality defined on (0, ...
9
The uniqueness of the solution for the definite problem of a parabolic variational inequality
... parabolic variational inequality is ...the variational inequality is degenerate and the obstacle condition contains the partial derivative of an unknown function, it makes the theoretical ...
8
A variational inequality involving nonlocal elliptic operators
... a variational inequality involving nonlocal elliptic operators, and the problem studied here is not variational in ...adequate variational arguments and a penalization ...
9
Affine algorithms for the split variational inequality and equilibrium problems
... The variational inequality problem [–] and equilibrium problem [–], which include the fixed point problems and optimization problems [–], have been studied by many ...the variational ...
15
Viscosity iterative algorithms for variational inequality
... One can see that the variational inequality problem (1.2) is equivalent to a fixed point prob- lem. That is, an element u ∈ C is a solution of the variational inequality (1.2) if and only if u ...
9
An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
... In this paper, motivated by the iterative schemes (1.6) and (1.7), we introduced 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 ...
12
On the solvability of a variational inequality problem and application to a problem of two membranes
... Abstract. The purpose of this work is to give a continuous convex function, for which we can characterize the subdifferential, in order to reformulate a variational inequality problem: find u = (u 1 ,u 2 ) ∈ ...
6
Existence Results for System of Variational Inequality Problems with Semimonotone Operators
... of variational inequality problems for semimonotone operators in reflexive Banach ...of variational inequality problems for semimonotone with finite- dimensional continuous operators in real ...
14
Convergence of iterative algorithms for a generalized variational inequality and a nonexpansive mapping
... The variational inequality (2.2) was introduced by Stampacchia [23] in 1964. The problem (2.2) has emerged as a fascinating and interesting branch of mathematical and engineering sciences with a wide range ...
14
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 problems, ...
11