Lu-Chuan Zeng

Existence of Solutions of Generalized Vector Variational Inequalities in Reflexive Banach Spaces

The purpose of this paper is to study the solvability for a class of generalized vector variational inequalities in reflexive Banach spaces. Utilizing the KKM-Fan lemma and the Nadler’s result, we prove the solvability results for this class of generalized vector variational inequalities for monotone vector multifuctions. On the other hand, we first introduce the concepts of complete semicontinuity and strong semicontinuity for vector multifunctions. Then we prove the solvability for this class of generalized vector variational inequalities without monotonicity assumption by using these concepts and by applying the Brouwer fixed point theorem. The results in this paper are extension and improvement of the corresponding results in Huang and Fang (2006).

On a general projection algorithm for variational inequalities

AbstractLet H be a real Hilbert space with norm and inner product denoted by

AN EXISTENCE RESULT FOR GENERALIZED VECTOR EQUILIBRIUM PROBLEMS WITHOUT PSEUDOMONOTONICITY

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Convergence analysis of a modified inexact implicit method for general mixed monotone variational inequalities

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On weak and strong solutions of F-implicit generalized variational inequalities with applications

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General iterative algorithms for solving mixed quasi-variational-like inclusions

. Let K be a nonempty closed convex set of H, and let f be a linear continuous functional on H. Let A, T, g be nonlinear operators from H into itself, and let