Results 1 to 10 of about 516 (82)

Gronwall-type integral inequalities with impulses on time scales

open access: yesAdvances in Difference Equations, 2011
In this article, some Gronwall-type integral inequalities with impulses on time scales are investigated. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete ...
Kang Ying   +4 more
doaj   +2 more sources

Non-differentiable multiobjective mixed symmetric duality under generalized convexity

open access: yesJournal of Inequalities and Applications, 2011
The objective of this paper is to obtain a mixed symmetric dual model for a class of non-differentiable multiobjective nonlinear programming problems where each of the objective functions contains a pair of support functions.
Li Jueyou, Gao Ying
doaj   +2 more sources

Optimality conditions and duality results for a new class of nonconvex nonsmooth vector optimization problems

open access: yesMiskolc Mathematical Notes, 2021
In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with both inequality and equality constraints defined in a real Banach space is considered.
T. Antczak, R. Verma
semanticscholar   +1 more source

KT-E-invexity in E-differentiable vector optimization problems

open access: yes, 2021
In this paper, a new concept of generalized convexity is introduced for E-differentiable vector optimization problems. Namely, the concept of KT-E-invexity is defined for (not necessarily) differentiable vector optimization problems in which the ...
Najeeb Abdulaleem
semanticscholar   +1 more source

Characterization of Robust Solution Quadratically Constrained Quadratic Optimization Problem Subjected to Data Uncertainty

open access: yes, 2021
Robust Optimization (RO) arises in two stages of optimization, first level for maximizing over the uncertain data and second level for minimizing over the feasible set.
M. Barro   +3 more
semanticscholar   +1 more source

A note on the paper "Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints"

open access: yes, 2021
In this work, some counterexamples are given to refute some results in the paper by Kohli [RAIRO:OR 53 (2019) 1617–1632]. We correct the fault in some of his results. Mathematics Subject Classification. 90C30, 90C46, 49J52.
N. Gadhi
semanticscholar   +1 more source

Nondiffusive variational problems with distributional and weak gradient constraints

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we consider nondiffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint is either a function or a Borel measure, leading to the state space being ...
Antil Harbir   +3 more
doaj   +1 more source

Optimality conditions for pessimistic semivectorial bilevel programming problems

open access: yesJournal of Inequalities and Applications, 2014
In this paper, a class of pessimistic semivectorial bilevel programming problems is investigated. By using the scalarization method, we transform the pessimistic semivectorial bilevel programming problem into a scalar objective optimization problem with ...
Bingbing Liu   +3 more
semanticscholar   +2 more sources

On ϵ-solutions for robust fractional optimization problems

open access: yesJournal of Inequalities and Applications, 2014
We consider ϵ-solutions (approximate solutions) for a fractional optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish optimality theorems and duality theorems for ϵ-solutions for the
Jae Hyoung Lee, G. Lee
semanticscholar   +2 more sources

On interval-valued optimization problems with generalized invex functions

open access: yesJournal of Inequalities and Applications, 2013
This paper is devoted to study interval-valued optimization problems. Sufficient optimality conditions are established for LU optimal solution concept under generalized (p,r)−ρ−(η,θ)-invexity.
I. Ahmad   +2 more
semanticscholar   +2 more sources

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