[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 …

[HTML][HTML] Perturbed mixed variational-like inequalities and auxiliary principle pertaining to a fuzzy environment

MB Khan, G Santos-García, S Treanțǎ, MA Noor… - Symmetry, 2022 - mdpi.com
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 …

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 …

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 …

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 …

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→ …

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 …

Multivalued variational inequalities and resolvent equations

MA Noor, KI Noor - Mathematical and Computer Modelling, 1997 - Elsevier
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 …

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 …

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 …