[BOK][B] Finite-dimensional variational inequalities and complementarity problems

F Facchinei, JS Pang - 2003 - Springer
Complementary to Chapter 11, the present chapter is devoted to the study of solution
methods for VIs that are of the monotone type and also for NCPs of the P 0 type. We already …

Tensor complementarity problems—part I: basic theory

ZH Huang, L Qi - Journal of Optimization Theory and Applications, 2019 - Springer
Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor
complementarity problem is a class of nonlinear complementarity problems with the involved …

Exceptionally regular tensors and tensor complementarity problems

Y Wang, ZH Huang, XL Bai - Optimization Methods and Software, 2016 - Taylor & Francis
Recently, many structured tensors are defined and their properties are discussed in the
literature. In this paper, we introduce a new class of structured tensors, called exceptionally …

Global uniqueness and solvability of tensor variational inequalities

Y Wang, ZH Huang, L Qi - Journal of Optimization Theory and Applications, 2018 - Springer
In this paper, we consider a class of variational inequalities, where the involved function is
the sum of an arbitrary given vector and a homogeneous polynomial defined by a tensor; we …

[BOK][B] Complementarity Problems and Variational Inequalities

G Isac - 2006 - Springer
We present in this chapter two classes of mathematical models, used in applied
mathematics. The first class comprises complementarity problems and the second class …

Generalized tensor equations with leading structured tensors

W Yan, C Ling, L Ling, H He - Applied Mathematics and Computation, 2019 - Elsevier
Abstract Systems of tensor equations (TEs) have received much considerable attention in
the recent literature. In this paper, we consider a class of generalized tensor equations …

[PDF][PDF] Exceptional family of elements and the solvability of variational inequalities for unbounded sets in infinite dimensional Hilbert spaces

G Isac, YB Zhao - Journal of Mathematical Analysis and Applications, 2000 - core.ac.uk
It is well known that the theory of ariational inequalities is now very well developed. The
development of this theory has been stimulated by the diversity of applications in physics …

[BOK][B] Scalar and asymptotic scalar derivatives: theory and applications

G Isac, SZ Németh - 2008 - books.google.com
This book is devoted to the study of scalar and asymptotic scalar derivatives and their
applications to the study of some problems considered in nonlinear analysis, in geometry …

Solvability of variational inequality problems

J Han, ZH Huang, SC Fang - Journal of Optimization Theory and …, 2004 - Springer
This paper presents the new concept of exceptional family of elements for the variational
inequality problem with a continuous function over a general unbounded closed convex set …

Quasi-P*-maps, P (τ, α, β)-maps, exceptional family of elements, and complementarity problems

YB Zhao, G Isac - Journal of Optimization Theory and Applications, 2000 - Springer
Quasi-P*-maps and P (τ, α, β)-maps defined in this paper are two large classes of nonlinear
map**s which are broad enough to include P*-maps as special cases. It is of interest that …