[PDF] Top 20 Generalized vector quasi variational like inequalities

... topological vector spaces, X be a nonempty and convex subset of E, C : X → 2 Y be a set-valued mapping such that C(x) is a closed pointed and convex cone with apex at 0 for each x ∈ ...the generalized L - η ... See full document

... the vector variational inequality in a finite-dimensional Euclidean space, which is a vector-valued version of the variational inequality of Hartman and ...investigated vector ... See full document

... In this paper, we use the auxiliary principle technique in conjunction with the Breg- man function to suggest and analyze a three-step predictor-corrector method for solving mixed quasi ... See full document

... u ∈ K and u is a solution of the generalized nonlinear variational-like inequality (2.2). Proof. It follows from the proof of Theorem 3.1 that there exists a mapping G : K → K satisfying G(u) = w, ... See full document

... If ” ≤ C ” is a partial order, then (Y, ≤ C ) is called a Banach space ordered by C. Let L(X, Y ) denote the space of all continuous linear maps from X into Y . Let T : K → L(X, Y ) be a nonlinear mapping and let ψ : K × ... See full document

... of generalized nonlinear variational-like ...of generalized nonlinear variational-like ...the generalized nonlinear variational-like inequality is given and ... See full document

... following generalized nonlinear vector quasi-variational-like inequality problem for finding (u, x, y, z) ∈ K × U × V × W such that u ∈ D(u) and for each v ∈ D(u), there exist x ∈ T(u), ... See full document

... (2) there exists a point ŵ Î T (ŷ) with Re 〈ŵ, h(ŷ, x)〉 + h(ŷ, x) ≤ 0 for all x Î S(ŷ). Remark 3.1 . (1) Theorems 3.1 and 3.3 of this article are further generalizations of the results obtained in [16, Theorems 3.1 and ... See full document

... The authors would like to express their thanks to the referees for their comments and suggestions that improved the presentation of this manuscript. This research was sup- ported by the National Natural Science ... See full document

... for generalized general set-valued mixed quasi varia- tional ...solving generalized set-valued variational ...solving variational inequalities and related optimization ... See full document

... The rest of the paper is organized as follows. In Section , we give some preliminaries and recall the main notions of contingent cone. In Section , the concept of contingent epiderivatives is introduced and, under ... See full document

... (b) the mapping u → M(Bu,Cu) is continuous from the weak topology on E to the strong topology on E ∗ such that M is η-generalized pseudocontractive in the first argument with respect to B with constant β > 0, ... See full document

... of generalized quasi-variational- like inclusions with noncompact valued ...of generalized quasi-variational-like ... See full document

... The main object of this paper was to define a new model of an abstract fuzzy economy with private information and a countable set of actions and to prove the existence of fuzzy equilibrium under the upper semicontinuity ... See full document

... new variational inequalities and variational-like inequalities as special cases of ...the generalized strongly nonlinear mixed variational-like inequality, which is ... See full document

... of vector equilibrium problems, vector variational inequalities, and implicit generalized variational ...that variational inequality and its variants enable us to study ... See full document

... of generalized vector variational-like ...of vector variational-like inequalities by means of the KKM-Fan lemma under P x -η-upper sign continuity with or without ... See full document

... (eds.) Variational Inequalities and Complementarity Problems, ...Y: Generalized KKM theorem and variational ...F: Vector Variational Inequalities and Vector ... See full document

... for vector multifunctions, and prove the solvability of the GSVVLI for pseudomonotone vector multifunctions by using Fan’s lemma [16] and Nadler’s theorem ... See full document

... nonsmooth quasi-variational inequality ...a vector-valued function and investigate its relations to (DVEP) and to the scalarized system of nonsmooth quasi-variational in- equality ... See full document