[PDF] Top 20 A class of generalized invex functions and vector variational like inequalities

... ϕ(x) – ϕ(¯ x) > α(x, x)ϕ ¯ x, ¯ η(x, x) ¯ + ρ(x, x), ¯ ∀x ∈ X, x = x. ¯ (.) If ϕ is strictly (α, ρ, η)-invex for each x ∈ X, then ϕ is called strictly (α, ρ, η)-invex on X. Remark . Setting α =  and ... See full document

... Wu [] formulated Karush-Kuhn-Tucker optimality conditions for an interval-valued objective function. Later, Wu [, ] formulated a Wolfe-type dual problem related to the interval-valued optimization problem and ... See full document

... the class of GSVVLI includes as a special case the one of SVVI considered by Fang and Huang ...for vector multifunctions, and prove the solvability of the GSVVLI for pseudomonotone vector ... See full document

... of vector equilibrium problems SVEPs, that is, a family of equilibrium problems for vector-valued bifunctions defined on a product set, with applications in vector optimization problems and Nash ... See full document

... Variational inequalities were introduced and studied by Stampacchia [11] in early ...wide class of linear and nonlinear problems aris- ing in various branches of mathematical and engineering sciences ... See full document

... a class of η-generalized vector variational-like inequalities and a class of η-generalized strong vector variational-like inequalities ... See full document

... and the well-known Nadler result, we prove some existence theorems of solutions for this class of generalized vector equilibrium-like problems. Furthermore, these existence theorems can be ... See full document

... of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit varia- tional inequalities, the system ... See full document

... convex functions and convex sets have been generalized in several directions us- ing novel and innovative techniques to study a wide class of unrelated problem in a unified and general ...of ... See full document

... The variational inequality theory, which is mainly due to Stampacchia [], provides very powerful techniques for studying problems arising in mechanics, optimization, trans- portation, economics, contact problems ... See full document

... new class of gener- alized quasi-variational-like inequalities for pseudo-monotone type II operators defined on compact sets in topological vector ...following generalized version ... See full document

... new class of gen- eralized quasi-variational-like inequalities for pseudo-monotone type I operators defined on non-compact sets in topological vector ...following generalized ... See full document

... in variational-like inequalities that classical con- vexity plays in variational ...the variational-like inequalities are well defined in the setting of ...for ... See full document

... In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities. We also study their relationship to Debreu type vector equilibrium ... 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 class of nonconvex variational problems with generalized frac- tional objective functions and nonlinear inequality constraints containing arbi- trary ...fractional variational ... See full document

... Variational-like inequalities are a useful and important generalization of variational in- equalities [3, 8, ...mixed variational-like inequalities have been studied by ... See full document

... On the other hand, recently, under some different con- ditions, [10,11] obtained some existence theorems of nonzero solutions for a class of generalized variational inequalities by fixed point ... See full document

... This paper is devoted to the study of behaviour and sensitivity analysis of the solution for a class of parametric problem of completely generalized quasi-variational inequalities. Copyright © ... 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