[PDF] Top 20 On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems

... of generalized strong vector quasiequilibrium problem without assuming that the dual of the ordering cone has a weak ∗ compact ...topological vector spaces, K ⊂ X and D ⊂ Y are nonempty ... See full document

... The system of generalized implicit vector quasivariational inequality problems generalizes the generalized implicit vector quasivariational inequality problems, and the ... See full document

... contains vector equilibrium problems as special ...the existence result for the solution set of ...the existence and uniqueness of the optimal solution but also the continuous ... See full document

... the generalized strong vector quasiequilibrium problems without convexity in locally G-convex ...the existence theorems for them are ...of strong solution set for the ... See full document

... existence of solutions to a class of nonlinear problem. I generalize the existence results of a class of p- Laplacian equation and extend it to a (p,q)-Laplacian system. Using some theorems, I ... See full document

... establish existence results for a solution to the SGVQEP and the SGQEP with or without involving Φ-condensing maps by using similar techniques in ...some existence results of a solution for the G-Debreu VEP ... See full document

... The following theorem yields a better result. Indeed, when X is infinite dimensional, the function x → kxk is not weakly upper semicontinuous, since otherwise the weak and strong topologies coincide. Hence ... See full document

... the system of generalized strong vector quasi-equilibrium problems (in short, ...topological vector spaces, A ⊂ X and B ⊂ Y be nonempty compact convex sub- sets and C ⊂ Z be a ... See full document

... the vector quasi-equilibrium problem is an important general- ization of the vector equilibrium problem which provides a unified model for vector quasi-variational inequalities, vector ... See full document

... a strong efficient solution of vector equili- brium problem is an ideal ...the existence of strong efficient solution and the properties of the strong efficient solution ...an ... See full document

... of problems arising in pure and applied mathematics, such as fixed point, minimax and variational inequality, Nash equilibrium, complementarity, and convex optimization problems (see, for example, [–] and ... See full document

... topological vector spaces, let K be a nonempty closed convex subset of X, and let C ⊂ Y be a proper closed convex and pointed cone with apex at the origin and int C / ... See full document

... a generalized mixed exponential type vector variational-like inequality problem (in short, GMEVVLIP) in Euclidean space and defined a new kind of α g -relaxed exponential (γ , η)-monotone ... See full document

... knowledge, existence results proposed in [] can be considered as a pioneering work for ...for strong vector equilibrium problems were derived in different spaces [, ...the existence ... See full document

... the existence and uniqueness result for a class of mixed variational ...the existence of solutions to mixed variational ...contact problems are given to illustrate our main ... See full document

... multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector ... See full document

... some existence theorems of solutions for a class of generalized vector variational inequalities and Minty generalized vector variational ... See full document

... for vector variational inequalities, vector complementarity problems, vector equilibrium problems, and vector optimization problems have been studied and ... See full document

... Theorem 2.1. Let K be a nonempty compact Δ-convex subset of a topological semilattice with path- connected intervals M, let Y be a Hausdorff topological vector space. Let A : K → 2 K be a mapping with nonempty ... See full document

... bilevel problems such as math- ematical programming with equilibrium constraints [], optimization problems with variational inequality constraints [], optimization problems with Nash equilibrium ... See full document