Results 31 to 40 of about 82 (79)

Duality and optimality conditions for generalized equilibrium problems involving DC functions

Equilibrium problems, Duality, Fenchel conjugation, DC functions, Variational inequalities, 49N15, 58E35, 90C26, 90C46,
N. Dinh, J. Strodiot, V. Nguyen
core   +1 more source

Karush-Kuhn-Tucker Necessary Optimality Conditions for (h, φ)ɛ-Multiobjective Optimization Problems Based on Pseudo-Avriel-Ben-Tal Algebraic Operations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper it is introduced a new generalized pseudo-operation with one parameter of the following form: x ⊕ɛ y = h−1(h(x) + ɛh(y)), where h is an n vector-valued continuous function, defined on a subset H of ℝn and possessing an inverse function h−1,
Bobe Alexandru, Răcuciu Ciprian, Cornaciu Veronica   +2 more
doaj   +1 more source

Equivalent formulations of the gradient

Gradient, Quadratic envelope property, Zero derivative point, Optimality condition, 90C46, 26B05, 74P20,
Sanjo Zlobec
core   +1 more source

Solving Two-stage Quadratic Multiobjective Problems via Optimality and Relaxations [PDF]

Mathematics Subject Classification: 49K99; 65K10; 90C29; 90C46.This paper focuses on the study of robust two-stage quadratic multiobjective optimization problems.
Eberhard, A, Yu, X, Liu, C, Chuong, TD, Li, C   +4 more
core   +1 more source

Optimality conditions and duality for semi-infinite programming involving B-arcwise connected functions

B-arcwise connected function (BCN), Semi-infinite programming, Optimality condition, Duality, 90C34, 90C46, 26B25,
Qingxiang Zhang
core   +1 more source

Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems

Quadratic nonconvex optimization, Regularized Lagrangian, Strong duality, Quadratic constraints, Linear equality constraints, Trust-region problems, Alternative theorems, 90C26, 90C46, 90C20, 90C30,
V. Jeyakumar, Guoyin Li
core   +1 more source

Stability Properties for Parametric Linear Programs under Data Ambiguities [PDF]

MSC codes: 65K10; 49K99; 90C46; 90C29.In this paper, we study a new parametric robust linear problem (PRLP) whose data are allowed to be perturbed not only on the objective and constraint functions but also on the size of the uncertainty sets.
Chuong, TD, Thanh Tinh, C
core   +1 more source

Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]

J Optim Theory Appl, 2022
Wang J, Li S, Feng M.
europepmc   +1 more source

First-Order Conditions for Optimization Problems with Quasiconvex Inequality Constraints [PDF]

, 2008
2000 Mathematics Subject Classification: 90C46, 90C26, 26B25, 49J52.The constrained optimization problem min f(x), gj(x) ≤ 0 (j = 1,…p) is considered, where f : X → R and gj : X → R are nonsmooth functions with domain X ⊂ Rn.
Ivanov, Vsevolod I., Ginchev, Ivan
core  

Optimality and solutions for conic robust multiobjective programs [PDF]

The authors would like to thank the referees for valuable comments and suggestions. Research was supported by a research grant from Australian Research Council under Discovery Program Grant DP200101197.
Eberhard, A, Yu, X, Liu, C, Chuong, TD, Li, C   +4 more
core   +1 more source