Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak ...
Ildar Sadeqi, Somayeh Nadi
doaj +2 more sources
Vector optimization problems and approximated vector optimization problems
Journal of Numerical Analysis and Approximation Theory, 2010 In this paper, a so-called approximated vector optimization problem associated to a vector optimization problem is considered. The equivalence between the efficient solutions of the approximated vector optimization problem and efficient solutions of the ...
Eugenia Duca, Dorel I. Duca
doaj +4 more sources
Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems [PDF]
Journal of Inequalities and Applications, 2008 We consider the weakly efficient solution for a class of nonconvex and nonsmooth vector optimization problems in Banach spaces. We show the equivalence between the nonconvex and nonsmooth vector optimization problem and the vector variational-like ...
Nan-Jing Huang +2 more
doaj +3 more sources
On generalized derivatives for C1,1 vector optimization problems [PDF]
Journal of Applied Mathematics, 2003 We introduce generalized definitions of Peano and Riemann directional derivatives in order to obtain second-order optimality conditions for vector optimization problems involving C1,1 data.
Davide La Torre
doaj +2 more sources
Connectedness and Path Connectedness of Weak Efficient Solution Sets of Vector Optimization Problems via Nonlinear Scalarization Methods [PDF]
Mathematics, 2019 The connectedness and path connectedness of the solution sets to vector optimization problems is an important and interesting study in optimization theories and applications.
Xin Xu, Yang Dong Xu
doaj +2 more sources
Upper Hölder continuity of parametric vector optimization problems [PDF]
Journal of Inequalities and Applications, 2016 This paper is concerned with upper Hölder continuity and Hölder calmness of a perturbed vector optimization problem. We establish some new sufficient conditions for upper Hölder continuity and Hölder calmness of the perturbed solution mappings and the ...
Xian-Fu Hu, Xiao-Wei Xue
doaj +2 more sources
Necessary optimality conditions for nonsmooth vector optimization problems
Mathematical Modelling and Analysis, 2003 In this paper we introduce a notion of generalized derivative for nonsmooth vector functions in order to obtain necessary optimality conditions for vector optimization problems.
Davide La Torre
doaj +6 more sources
Generalized Nonsmooth Exponential-Type Vector Variational-Like Inequalities and Nonsmooth Vector Optimization Problems in Asplund Spaces [PDF]
Mathematics, 2019 The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator.
Syed Shakaib Irfan +4 more
doaj +2 more sources
Geometric Duality for Convex Vector Optimization Problems [PDF]
, 2011 Geometric duality theory for multiple objective linear programming problems turned out to be very useful for the development of efficient algorithms to generate or approximate the whole set of nondominated points in the outcome space.
Heyde, Frank
core +3 more sources
Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices [PDF]
Journal of Applied Mathematics, 2013 We investigate the connections between vector variational inequalities and ordered variational inequalities in finite dimensional real vector spaces.
Linsen Xie, Jinlu Li, Wenshan Yang
doaj +2 more sources