[图书][B] Multi-dimensional control problems: Robust approach

A Jayswal, S Treanţӑ - 2022 - books.google.com
This book deals with several types of multi-dimensional control problems in the face of data
uncertainty for vector cases—multi-dimensional multi-objective control problem with …

On equivalence between a variational problem and its modified variational problem with the η‐objective function under invexity

A Jayswal, T Antczak, S Jha - International Transactions in …, 2019 - Wiley Online Library
In this paper, a new approach to analyze optimality and saddle‐point criteria for a new class
of nonconvex variational problems involving invex functions is studied. Namely, the modified …

Weak efficiency in multiobjective variational problems under generalized convexity

M Arana-Jiménez, G Ruiz-Garzón… - Journal of Global …, 2012 - Springer
In this paper, we provide new pseudoinvexity conditions on the involved functionals of a
multiobjective variational problem, such that all vector Kuhn-Tucker or Fritz John points are …

On efficiency and mixed duality for a new class of nonconvex multiobjective variational control problems

T Antczak - Journal of Global optimization, 2014 - Springer
In this paper, we extend the notions of (Φ, ρ)(Φ, ρ)-invexity and generalized (Φ, ρ)(Φ, ρ)-
invexity to the continuous case and we use these concepts to establish sufficient optimality …

A necessary and sufficient condition for duality in multiobjective variational problems

M Arana-Jiménez, G Ruiz-Garzón… - European Journal of …, 2010 - Elsevier
In this paper we move forward in the study of duality and efficiency in multiobjective
variational problems. We introduce new classes of pseudoinvex functions, and prove that …

Efficiency criteria and dual techniques for some nonconvex multiple cost minimization models

S Treanţă, RM Calianu - IFAC Journal of Systems and Control, 2024 - Elsevier
In this study, we investigate a class of multi-objective variational control problems governed
by nonconvex simple integral functionals. Concretely, we establish and prove (necessary …

Duality for a class of second order symmetric nondifferentiable fractional variational problems

AK Prasad, AP Singh, S Khatri - 2020 - idr-lib.iitbhu.ac.in
The present work frames a pair of symmetric dual problems for second order
nondifferentiable fractional variational problems over cone constraints with the help of …

The modified objective function method for univex multiobjective variational problems

T Antczak, A Jayswal, S Jha - Bulletin of the Iranian Mathematical Society, 2019 - Springer
In this paper, we use the modified objective function method for a class of nonconvex
multiobjective variational problems involving univex functions. Under univexity hypotheses …

Duality for multiobjective variational problems under second-order (Ф, ρ)-invexity

V Singh, I Ahmad, SK Gupta, S Al-Homidan - Filomat, 2021 - doiserbia.nb.rs
The purpose of this article is to introduce the concept of second order (Ф, ρ)-invex function
for continuous case and apply it to discuss the duality relations for a class of multiobjective …

[HTML][HTML] Duality for a class of symmetric nondifferentiable multiobjective fractional variational problems with generalized (F, α, ρ, d)-convexity

N Kailey, SK Gupta - Mathematical and Computer Modelling, 2013 - Elsevier
Duality for a class of symmetric nondifferentiable multiobjective fractional variational problems
with generalized (F,α,ρ,d)-convexity - ScienceDirect Skip to main contentSkip to article Elsevier …