Results 11 to 20 of about 740 (263)

Generalized Vector Variational Inequalities in Topological Vector Spaces [PDF]

Journal of Applied Analysis, 2007
The solvability of certain classes of variational inequalities is established.
Jabarootian, Tooba, Zafarani, Jafar
openaire   +1 more source

Vector and Ordered Variational Inequalities and Applications to Order-Optimization Problems on Banach Lattices

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   +1 more source

On local quasi efficient solutions for nonsmooth vector optimization problems

Croatian Operational Research Review, 2020
We are interested in local quasi efficient solutions for nonsmooth vector optimization problems under new generalized approximate invexity assumptions.
Mohsine Jennane, Lhoussain El Fadil, El Mostafa Kalmoun   +2 more
doaj   +1 more source

Generalized vector variational inequality

Applied Mathematics Letters, 1996
A generalized vector variational inequality is studied, involving a set-valued function. Existence of a solution is proved under a convexity assumption, generalizing a result of Chen to the set-valued case.
Lee, G.M., Kim, D.S., Lee, B.S.
openaire   +2 more sources

Pre-vector variational inequalities [PDF]

Bulletin of the Australian Mathematical Society, 1996
Existence theorems for pre-vector variational inequalities are established under different conditions on the operator T and the function η. As an application, we establish the existence of a weak minimum of an optimisation problem on η-invex functions.
openaire   +1 more source

Connectedness and Compactness of Weak Efficient Solutions for Set-Valued Vector Equilibrium Problems

Journal of Inequalities and Applications, 2008
We study the set-valued vector equilibrium problems and the set-valued vector Hartman-Stampacchia variational inequalities. We prove the existence of solutions of the two problems.
Shu-Min Yuan, Xun-Hua Gong, Bin Chen
doaj   +2 more sources

A Note on Scalar-Valued Gap Functions for Generalized Vector Variational Inequalities

Abstract and Applied Analysis, 2013
This paper is concerned with gap functions of generalized vector variational inequalities (GVVI). By using scalarization approach, scalar-valued variational inequalities of (GVVI) are introduced. Some relationships between the solutions of (GVVI) and its
Xiang-Kai Sun, Hong-Yong Fu, Yi Chai
doaj   +1 more source

Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces

International Journal of Mathematics and Mathematical Sciences, 2003
The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces.
Zeqing Liu, Jeong Sheok Ume, Shin Min Kang   +2 more
doaj   +1 more source

A class of generalized invex functions and vector variational-like inequalities

Journal of Inequalities and Applications, 2017
In this paper, a class of generalized invex functions, called ( α , ρ , η ) $(\alpha,\rho,\eta)$ -invex functions, is introduced, and some examples are presented to illustrate their existence.
Ru Li, Guolin Yu
doaj   +1 more source

Nanothermometry in Living Cells: Physical Limits, Conceptual and Material Challenges

Advanced Functional Materials, EarlyView.
Heat and temperature are fundamental to life. When nanothermometers began probing regions as small as a living cell, they triggered controversial claims of large intracellular temperature gradients. We review physical constraints energy‐conservation, entropy production, thermodynamic fluctuations, and molecular dynamics.
Taras Plakhotnik
wiley   +1 more source