[PDF] Top 20 Sensitivity analysis of general nonconvex variational inequalities

... Variational inequalities theory, which was introduced by Stampacchia [], provides us with a simple, natural, general and unified framework to study a wide class of problems arising in pure and ... See full document

... the variational inequalities, we have the problem of finding the fixed points of nonexpansive mappings, which is the subject of current interest in func- tional ...of variational in- equalities and the ... See full document

... nonlinear analysis and optimization, variational in- equality has been explosively growing in both theory and applications; see, for example, ...of variational inequality is the gen- eral ... See full document

... quasi-variational inequalities, which is called the general nonconvex quasi-variational inequality on the uniformly prox-regular sets, It is well-known [3,24] that the prox-regular sets ... See full document

... Variational inequalities, which include many important problems in nonlinear analysis and optimization such as the Nash equilibrium problem, complementarity problems, vector opti- mization problems, ... See full document

... of nonconvex sets called proximally smooth sets; subsequently, Poliquin et ...many nonconvex applications in areas such as optimizations, eco- nomic models, dynamical systems, differential inclusions, ... 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

... of analysis, one encounters operators who may be split in the form S = A ± T , where A and T satisfies some conditions, and S itself has nei- ther of these ...in general, no continuous dependence of ... See full document

... is nonconvex but star- shaped, corresponding variational formulations are no longer variational ...hemivariational inequalities, one can prove the existence of solutions to the fol- lowing ... See full document

... the general mixed variational inequalities is proper, convex, and lower semicontinuous, then it has been shown that the general mixed variational inequalities are equivalent to ... See full document

... of general nonconvex variational inequalities on uniformly prox-regular sets, but also to get rid of the dependence of T on the mapping g and the injective property defined on g in convergence ... See full document

... General variational inequalities involving two operators were introduced and studied by Noor [8] in ...of general variational inequalities. General variational ... See full document

... of variational inequalities introduced by Stampacchia [1] in the early 1960s have enjoyed vigorous growth for the last 30 ...years. Variational inequality theory describes a broad spectrum of ... See full document

... structural analysis, elasticity and optimiza- ...of variational inequality theory can be viewed as the simultaneous pursuit of two different lines of ...in variational inequality theory is the ... See full document

... problems, variational inequalities, and variational-like inequalities as special ...solving variational-like inequalities, which have been considered in the setting of ... See full document

... Recently, Plubtieng and Punpaeng [] and Ceng et al. [, ] considered some iterative methods for VIP (.) and its extended versions and got some strong convergence theo- rems. As a generalization of VIP (.), the ... See full document

... 11 M. Liu, S. S. Chang, and P. Zuo, “An algorithm for finding a common solution for a system of mixed equilibrium problem, quasivariational inclusion problem, and fixed point problem of nonexpansive semigroup,” Journal ... See full document

... Let H be a real Hilbert space and let C be a nonempty closed convex subset of H. Let F : H → H be an operator such that for some constants k, η > 0, F is k-Lipschitzian and η-strongly monotone on C; that is, F ... See full document

... From Corollary 1.8 in Smithson 15 and the variational characterization of the metric projection 3.7, we have that the problem GVIK; Γ is solvable. Let SK; Γ denote the set of solutions to the problem GVIK; Γ. ... See full document

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), ... See full document