[PDF] Top 20 A New Variational Inequality with its Application

... a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ... See full document

... know, variational inequality theory plays an important role in many fields, such as optimal control, mechanics, economics, transportation equilibrium, engineering ...the variational inequality ... See full document

... 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 (Haifa, ... See full document

... generalized variational inequalities on non-convex ...for variational and quasi-variational ...from new topological generalizations of the fixed point theorem of Kakutani without convexity ... See full document

... It is well known that error bounds play important roles in the study of variational inequal- ity problems. They allow one to estimate how far a feasible element is from the solution set without even having ... See full document

... In this work, we present a new extragradient-like method for the classical variational in- equality problem based on a novel descent direction that we constructed. The numerical results show the perfect ... See full document

... of new generalized parametric nonlinear ordered variational inequality problems and discuss its existence ...parametric inequality class with the help of B-restricted-accretive method ... See full document

... a new definition of relaxed η-α pseu- domonotone mappings and prove the existence of solutions for variational-like inequality and generalized variational-like inequality with relaxed ... See full document

... a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a β-inverse- strongly monotone ... See full document

... a new general iterative scheme for finding a common element of the set of solutions of variational inequality problem for an inverse-strongly monotone mapping and the set of fixed points of a ... See full document

... Gronwall inequality can no longer meet the needs of application, so people began to study the gen- eralized Gronwall ...Gronwall–Bellman inequality called the Bihari–LaSalle ...Gronwall’s ... See full document

... of variational inequalities. Variational inequali- ties have been generalized and extended in several directions using new ...of variational inequality theory, vector varia- tional ... See full document

... a new parallel hybrid viscosity iterative method for finding a common element of three solution sets: (i) finite split generalized equilibrium problems; (ii) finite variational inequality problems; and ... See full document

... hierarchical variational inequality problem, also known as a hierarchical fixed point problem, and it is studied in [, ...hierarchical variational inequality problem; see for example [–] and ... See full document

... Being important tools in the study of differential equations, integral equations and integro- differential equations, various generalizations of Gronwall inequality and their applications have attracted great ... See full document

... The attracting set of dynamical systems have been extensively studied over the past few decades and various results are reported. It is well known that one of the most researching tools is inequality technique. ... See full document

... a new projection algorithm for generalized variational inequality with multivalued ...the variational inequality problem, provided that the multivalued mapping is continuous and ... See full document

... a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point ... See full document

... In this paper, inspired by the work in [], we propose a new type of extragradient pro- jection method for the problem GVI. We first establish the existence results for the GVI under pseudomonotonicity and ... See full document

... In 1934, Leray and Schauder extended this concept to infinite dimensional Banach spaces with mappings of the form f = I − g, where I is the identity map and g is a compact map (see [7]). The uniqueness of the two degree ... See full document