Results 1 to 10 of about 621 (144)

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
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Variational Inequalities and Vector Optimization [PDF]

Journal of Applied Mathematics, 2013
As very powerful and important tools in the study of nonlinear sciences, variational inequalities and vector optimization have attracted so much attention. Over the last decades, variational inequality and vector optimization techniques have been applied extensively in such diverse fields as biology, chemistry, economics, engineering, game theory ...
Jian-Wen Peng, Nan-Jing Huang, Xue-Xiang Huang, Jen-Chih Yao   +3 more
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Generalized Vector Variational-Like Inequalities

Journal of Mathematical Extension, 2010
In this paper, we consider different types of generalized vector variational-like inequalities and study the relationships between their solutions.
M. Rezaei, H. Gazor
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Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds

Mathematics, 2022
This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems.
Savin Treanţă, Priyanka Mishra, Balendu Bhooshan Upadhyay   +2 more
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On Generalized Strong Vector Variational-Like Inequalities in Banach Spaces

Journal of Inequalities and Applications, 2007
The purpose of this paper is to study the solvability for a class of generalized strong vector variational-like inequalities in reflexive Banach spaces.
Lu-Chuan Ceng, Jen-Chih Yao, Yen-Cherng Lin   +2 more
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Approximate Efficient Solutions of the Vector Optimization Problem on Hadamard Manifolds via Vector Variational Inequalities

Mathematics, 2020
This article has two objectives. Firstly, we use the vector variational-like inequalities problems to achieve local approximate (weakly) efficient solutions of the vector optimization problem within the novel field of the Hadamard manifolds.
Gabriel Ruiz-Garzón, Rafaela Osuna-Gómez, Antonio Rufián-Lizana, Beatriz Hernández-Jiménez   +3 more
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Existence of Solutions for η-Generalized Vector Variational-Like Inequalities

Journal of Inequalities and Applications, 2010
We introduce and study a class of η-generalized vector variational-like inequalities and a class of η-generalized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces.
Xi Li, Jong Kyu Kim, Nan-Jing Huang
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System of Generalized Implicit Vector Quasivariational Inequalities

Journal of Inequalities and Applications, 2008
We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system of generalized vector quasivariational-like ...
Xiao-Ping Zheng, Jian-Wen Peng
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REMARKS ON IMPLICIT VECTOR VARIATIONAL INEQUALITIES [PDF]

Taiwanese Journal of Mathematics, 2002
In this paper, the authors consider two implicit vector variational inequalities. One is proposed and studied by the authors in [J. Optimization Theory Appl. 104, 409--425 (2000; Zbl 0970.47052)] and the other one is the generalized form of the previous one. They generalize the concepts of pseudomonotonicity and hemicontinuity which are earlier studied
Kum, Sangho, Lee, Gue Myung
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Results on the Existence of Solutions Associated with Some Weak Vector Variational Inequalities

Fractal and Fractional, 2022
In this paper, by considering the notions of the invex set, Fréchet differentiability, invexity and pseudoinvexity for the involved functionals of curvilinear integral type, we establish some relations between the solutions of a class of weak vector ...
Savin Treanţă
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