[PDF] Top 20 Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications

... an abstract convex space and V be a real topological vector ...closed convex cone with int C(x) = ∅, here int C(x) denotes the interior of ...following generalized vector ... See full document

... the abstract generalized vector quasi-equilibrium problem (for short, AGVQEP) in noncompact Hadamard ...an existence result of maximal elements in noncompact Hadamard manifolds ... See full document

... so-called equilibrium problem, which is also called generalized Ky Fan minimax in- equality, was firstly studied by Blum and Oettli [1] in 1994 in finite-dimensional Euclidean ...many problems ... See full document

... of generalized quasiequilibrium problems which includes as special cases the generalized vector quasi-equilibrium problems, vector quasiequilibrium problems, ... See full document

... of vector equilibrium problem is an ideal solution; it is better than other solutions such as efficient solution, weak efficient solution, proper efficient solution, and supper efficient solution see ...the ... See full document

... The generalized quasi-variational relation problems include, as special cases, the gener- alized variational inclusion problems, the generalized vector equilibrium ... See full document

... the existence of essential components of the set of Nash equilibrium ...Nash equilibrium points and suggested that a satisfactory solution for a non- cooperative game should be set-wise, and they ... See full document

... the equilibrium problem has been extensively generalized to the vector map- pings (see [–, ...topological vector spaces and K be a nonempty subset of ...and convex cone in Y ... See full document

... the generalized Fan-Browder fixed point theorem to establish some existence results of solutions for ...topological vector spaces, and K a nonempty convex subset of X, and D a ... See full document

... of problems arising in pure and applied sciences including elasticity, optimization, economics, transportation, and structural analysis, see for instance ...basic existence theorems of solutions to a ... See full document

... of generalized strong vector quasi-equilibrium problems (in short, ...locally convex Hausdorff topological vector spaces, A ⊂ X and B ⊂ Y be nonempty compact ... See full document

... Definition 2.2. Let E and Z be topological spaces, X ⊂ E a nonempty convex set. Let C : X → 2 Z be a set-valued mapping with IntC(x) = ∅ for all x ∈ X and Φ : X × X → 2 Z be a set-valued mapping. Then Φ(x, ... See full document

... of solutions EP (f, K), by S(f, K ...important problems such as convex programs, variational inequalities, fixed point, Nash equilibrium models and minimax problems can be formulated as ... See full document

... auxiliary problems for the equilibrium problem ...the existence of approximate solutions of the auxiliary problems for the equilibrium problem, and establish the strong ... See full document

... some existence theorems of solutions for this class of generalized vector equilibrium-like ...these existence theorems can be applied to derive some existence results of ... See full document

... In Section 5 we consider a pure exchange economy whose utilities are interdependent and prices dependent The consumption set, for this economy is the positive cone of a locally convex to[r] ... See full document

... Let X, Y, Z be three nonempty, compact and convex subsets of three normed linear topo- logical spaces. Denote by M the collection of all (MGVR) such that all conditions of Theo- rem . hold. For each q ∈ ... See full document

... Recently, iterative algorithms have been investigated for many problems, such as economy, mechanics, transportation and optimization; see [1-11] and the references therein. In this paper, we always assume that H ... See full document

... efficient solutions set for set-valued VEPs and the set-valued vector Hartman-Stampacchia variational inequalities in normed linear ...efficient solutions for generalized ...of ... See full document

... 3 F·, ·, · is upper C-semicontinuous on D × K × K with nonempty and compact values; 4 for each x ∈ K and each u ∈ Tx, Fu, x, · is C -convex or C -quasiconvex-like; 5 for each x ∈ K and each u ∈ Tx, if x ∈ int Gx, ... See full document