Results 1 to 10 of about 81,600 (259)

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

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

Fully Piecewise Linear Vector Optimization Problems

Journal of Optimization Theory and Applications, 2021
We distinguish two kinds of piecewise linear functions and provide an interesting representation for a piecewise linear function between two normed spaces. Based on such a representation, we study a fully piecewise linear vector optimization (PLP) with the objective and constraint functions being piecewise linear.
Xi Yin Zheng, Xiaoqi Yang
openaire   +4 more sources

Stability kernel of vector optimization problems under perturbations of criterion functions

Доповiдi Нацiональної академiї наук України, 2021
The article is devoted to the study of the influence of uncertainty in initial data on the solutions of optimization multicriterial problems. In the optimization problems, including problems with vector criterion, small perturbations in initial data can
Т.Т. Lebedeva, N.V. Semenova, T.I. Sergienko   +2 more
doaj   +1 more source

Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems

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, Jong Kyu Kim, Zhi-Bin Liu   +2 more
doaj   +2 more sources

Local Sharp Vector Variational Type Inequality and Optimization Problems

Mathematics, 2020
In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and ...
Jong Kyu Kim, Salahuddin
doaj   +1 more source

Optimality Conditions of Globally Efficient Solution for Vector Equilibrium Problems with Generalized Convexity

Journal of Inequalities and Applications, 2009
We study optimality conditions of globally efficient solution for vector equilibrium problems with generalized convexity. The necessary and sufficient conditions of globally efficient solution for the vector equilibrium problems are obtained.
Qiusheng Qiu
doaj   +2 more sources

Topological aspects in vector optimization problems

Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009
In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
doaj   +1 more source

Connectedness and Path Connectedness of Weak Efficient Solution Sets of Vector Optimization Problems via Nonlinear Scalarization Methods

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   +1 more source