[PDF] Top 20 Existence of Solutions and Algorithm for a System of Variational Inequalities

... B, then by Lemma 2.3, parametric variational inequality VIB, Gx, · has solutions. In terms of strict monotonicity of the mapping G in y and Lemma 2.4, we know that VIB, Gx, · has a unique solution. So, for ... See full document

... study existence and approximation of different classes of variational ...parallel algorithm for a solution of parabolic variational ...parallel algorithm using the metric ...projection ... See full document

... of variational inequalities, Agarwal et al. [33] introduced a system of generalized nonlinear mixed quasivariational inclusions and in- vestigated the sensitivity analysis of solutions for ... See full document

... the solutions of the system of generalized variational inequality problems in Banach ...new existence theorems of solutions for two classes of generalized set-valued variational ... See full document

... Then (x ∗ , y ∗ ) ∈ K × K is a solution of the system of variational inequalities (.). Since A, B are continuous, so the set of solutions of (.) is closed. This completes the proof. It is ... See full document

... the variational problem is to transfer the variational inequality into an operator equation, and then transfer the operator equa- tion into the fixed point ...quasi-variational inequalities in ... See full document

... of variational inequalities is the development of an efficient iterative algorithm to compute approximate ...type variational inequalities in Banach ...the existence and iterative ... See full document

... classical variational inequality problem has been generalized in various directions for its own development and its ...Mixed variational-like inequality is an important and useful generalization of the ... See full document

... the existence of solution in the literature to the case of generalized extended nonlinear varia- tional inequality ...(.). Algorithm  is a very general and unified algorithm for finding an ... See full document

... the existence of solutions for a class of variational inclusions and convergence of the iterative ...several existence and uniqueness theorems and convergence and stability results of ... See full document

... Variational inequalities and complementarity problem play equally important roles in applied mathematics, physics, control theory and optimization, equilibrium theory of transportation and economics, ... See full document

... Variational inequalities, generalized variational in- equalities and generalized quasivariational inequalities were studied intensively in the last 30 years with topo- logical method, ... See full document

... The equilibrium problem is a generalization of classical variational inequalities. This problem contains many important problems as special cases, for instance, optimization, Nash equilibrium, ... See full document

... Next, we consider a special type of mappings which has been used by number of authors in the fields of variational inequality theory and complementarity theory see 4–6. Let C be a closed convex -sublattice of a ... See full document

... H), inequalities (4) make ...an algorithm for forming the control v = v h ( · ) in the inequality (1) allowing us to track the solution x( · ) of inequality (3) by the solution w( · ) of inequality ...an ... See full document

... the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally convex ... See full document

... in variational inequality ...in variational-like ...the existence of solutions for the following generalized nonlinear variational-like inequality ... See full document

... of variational inequalities and complementarily problems deals with completely continuous field ...of variational in- equality and complementarily problem has been studied by many authors in Hilbert ... See full document

... for variational inequalities and the existence of solutions for differential equations studied in variable exponent Sobolev or Orlicz-Sobolev spaces (see, ... See full document

... the existence of nonzero solutions for variational ...the existence of nonzero solu- tions for a class of generalized variational inequalities for multivalued mappings by fixed ... See full document