Gap Function and Global Error Bounds for Generalized Mixed Quasi-variational Inequality

Error Bounds of Generalized D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems

We present some error bound results of generalized D-gap functions for nonsmooth and nonmonotone variational inequality (VI) problems. Application is given in providing a derivative-free descent method.

Gap Functions and Global Error Bounds for Set-valued Mixed Variational Inequalities

In this paper, we introduce some gap functions for set-valued mixed variational inequalities under suitable conditions. We further use these gap functions to study global error bounds for the solutions of set-valued mixed variational inequalities in Hilbert spaces. The results presented in this paper generalize and improve some corresponding known results in literatures.

Generalized Quasi-Variational-Like Inequality Problem

On Global Bounds for Generalized Jensen’s Inequality

We offer a global bound for an abstract Jensen's functional. Particularly , the results from Simi´c [Rocky Mount. are reobtained. Applications to integral inequalities and the theory of means are pointed out.

Error bounds of regularized gap functions for weak vector variational inequality problems

where C ⊆ Rm is a closed convex and pointed cone with nonempty interior intC. (WVVI) was firstly introduced by Giannessi []. It has been shown to have many applications in vector optimization problems and traffic equilibrium problems (e.g., [, ]). Error bounds are to depict the distance from a feasible solution to the solution set, and have played an important role not only in sensitivity an...