[图书][B] Vector optimization: set-valued and variational analysis
G Chen, X Huang, X Yang - 2005 - books.google.com
Vector optimization model has found many important applications in decision making
problems such as those in economics theory, management science, and engineering design …
problems such as those in economics theory, management science, and engineering design …
[HTML][HTML] Perturbed mixed variational-like inequalities and auxiliary principle pertaining to a fuzzy environment
Convex and non-convex fuzzy mappings are well known to be important in the research of
fuzzy optimization. Symmetry and the idea of convexity are closely related. Therefore, the …
fuzzy optimization. Symmetry and the idea of convexity are closely related. Therefore, the …
Transfer continuities, generalizations of the Weierstrass and maximum theorems: a full characterization
G Tian, J Zhou - Journal of Mathematical Economics, 1995 - Elsevier
This paper gives necessary and sufficient conditions for We do so by introducing a class of
transfer continuities which characterize the essence of topological structures of functions …
transfer continuities which characterize the essence of topological structures of functions …
Auxiliary principle and iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities
N Huang, C Deng - Journal of Mathematical Analysis and Applications, 2001 - Elsevier
In this paper, we extend the auxiliary principle technique to study a class of generalized set-
valued strongly nonlinear mixed variational-like inequalities. We prove the existence of a …
valued strongly nonlinear mixed variational-like inequalities. We prove the existence of a …
Auxiliary principle for generalized mixed variational-like inequalities
MA Noor - Journal of Mathematical Analysis and Applications, 1997 - Elsevier
In this paper, we use the auxiliary principle technique to prove the existence of a solution of
some new classes of variational inequalities, which are called the generalized mixed …
some new classes of variational inequalities, which are called the generalized mixed …
Existence of solutions for lower semicontinuous quasi-equilibrium problems
P Cubiotti - Computers & Mathematics with Applications, 1995 - Elsevier
In this paper, we deal with the following quasi-equilibrium problem: given a nonempty
subset C of a topological vector space X, a nonempty set D, two functions T: C→ D, f: X× D→ …
subset C of a topological vector space X, a nonempty set D, two functions T: C→ D, f: X× D→ …
Sensitivity analysis of solution mappings of parametric vector quasi-equilibrium problems
K Kimura, JC Yao - Journal of Global Optimization, 2008 - Springer
In this article, we study the parametric vector quasi-equilibrium problem (PVQEP). We
investigate existence of solution for PVQEP and continuities of the solution mappings of …
investigate existence of solution for PVQEP and continuities of the solution mappings of …
Multivalued variational inequalities and resolvent equations
In this paper, we introduce and study some new classes of multivalued variational
inequalities. These classes are more general and include the previously known classes of …
inequalities. These classes are more general and include the previously known classes of …
On vector quasi-equilibrium problems with set-valued maps
SH Hou, H Yu, GY Chen - Journal of Optimization Theory and Applications, 2003 - Springer
In this paper, we introduce a new class of vector quasi-equilibrium problems with set-valued
maps. Almost all the vector equilibrium models of the Blum-Oettli type in the literature are …
maps. Almost all the vector equilibrium models of the Blum-Oettli type in the literature are …
On equilibria in constrained generalized games with the weak continuous inclusion property
MA Khan, RP McLean, M Uyanik - Journal of Mathematical Analysis and …, 2024 - Elsevier
In this paper, we present results that use Himmelberg's fixed point theorem to highlight
substantive trade-offs between compactness, continuity and convexity postulates in the …
substantive trade-offs between compactness, continuity and convexity postulates in the …