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 …
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 …
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 …
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 …
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 …
The present work frames a pair of symmetric dual problems for second order nondifferentiable fractional variational problems over cone constraints with the help of …
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 …
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 …
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 …