[PDF] Top 20 Variational like inequalities for pseudomonotone operators

... Theorem 2.12 . Let X be a nonempty closed convex subset of R n and T : X → R n be g- pseudomonotone such that Condition 1.4 is satisfied; h : X → R a lower semicontinuous and convex function. Then there exists a ... See full document

... In this paper, we obtain some general theorems on solutions for a new class of gener- alized quasi-variational-like inequalities for pseudo-monotone type II operators defined on compact sets in ... See full document

... Let Y be a real Hausdorff topological vector space and X be a nonempty convex subset in a real locally convex Hausdor ff topological vector space E . We denote L ( E , Y ) the space of all continuous linear ... See full document

... bi-quasi-variational inequalities for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators defined on noncompact sets in locally convex Hausdorff topological vector ... See full document

... It is a contradiction and this implies that T is a KKM mapping. Now we show that T (x) ⊂ S(x) for all x ∈ K. For any given x ∈ K , let y ∈ T (x). Thus, we have F(y), η(x, y) ≥ . Since F is a relaxed η-α ... See full document

... quasi-variational inequalities in locally convex topological vector spaces and their results were obtained on compact sets where the set-valued mappings were either lower semi-continuous or upper semi- ...I ... See full document

... solving variational inequalities are analytic center cutting plane ...of variational inequalities are poly- topes, ...problems, like mathematical programming with equi- librium ... See full document

... ularization operators and bifunctions is extended to pseudomonotone variational inequalities and equilibrium problems, ...even pseudomonotone, since the sum of a strongly monotone ... See full document

... In this section we apply the existence results that have obtained in previous section, to establish a coincidence point result involving non- expansive operators. As particular case we obtain a fixed point theorem ... See full document

... vector variational-like inequalities in reflexive Banach ...vector variational-like inequalities without monotonicity assumption under some quite mild ...vector ... See full document

... Variational inequalities introduced by Stampacchia [3] in the early sixties have had a great impact and influence in the development of almost all branches of pure and applied sciences and have witnessed an ... See full document

... INTRODUCTION In a series of articles Dubinskii [1,2] considered the nontriviality of Sobolev spaces of infinite order corresponding to boundary value problems for linear differential equ[r] ... See full document

... Theorem 3.1. Let K be a nonempty closed convex subset of a Hilbert space H. Let a : H × H → ( −∞ , ∞ ) be a coercive continuous bilinear form with (C1) and (C2) and let f : K → ( −∞ , ∞ ] be a proper convex lower ... See full document

... Tu , η ( v , u ) + ϕ ( v , u ) + ϕ ( u , u ) ≥ 0, ∀ v ∈ K. (2.6) An inequality of type (2.6) is called the mixed quasi variational-like inequality introduced and studied by Noor [8] in 1996. Noor [7, 8, 9, ... See full document

... In this section, we extend the auxilary principle technique of Glowinski et al. [9] and then use it to study the fuzzy variational-like inequality (2.5) in Hilbert spaces. We first establish an existence ... See full document

... in variational inequality theory is the development of efficient and implementable iterative algorithms for solving various classes of variational inequalities and variational ...various ... See full document

... the variational inequality has been addressed in a large variety of prob- lems arising in elasticity, structural analysis, economics, transportation equilibrium, op- timization, oceanography, and engineering ... See full document

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

... multivalued pseudomonotone mixed variational inequality is considered, and a modified two-layer iteration via a boundary point approach to find the minimum norm solution of such inequalities is ... See full document

... find x ∗ ∈ Fix(T) such that (I − S)x ∗ , j(x − x ∗ ) ≥ 0, ∀x ∈ Fix(T), (1:3) where T, S : C ® C are pseudocontractions. Let Ω denote the set of solutions of the VI(1.3) and assume that Ω is nonempty. Since I - S is ... See full document