The Modified Objective Function Method for Univex Multiobjective Variational Problems

Antczak, Tadeusz; Jayswal, Anurag; Jha, Shalini

doi:10.1007/s41980-018-0131-9

Cited by 5 publications

(1 citation statement)

References 23 publications

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“…Hanson [19] discussed the relationship between optimization problems and variational problems. Later, several researchers have shown their interest to solve the variational control problems (see, for example, [2,3,4,10,12,14,22,25,27,34,36] and others). Craven [17], remarkably established KT-type necessary conditions for multiobjective variational problems under pseudo and quasi convexity assumptions.…”

Section: Introductionmentioning

confidence: 99%

Multitime multiobjective variational problems via η-approximation method

Jha

Das

Bandhyopadhyay

2022

YUGOSLAV J OPERATION

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The present article is devoted to multitime multiobjective variational problems via ?-approximation method. In this method, an ?-approximation approach is applied to the considered problem, and a new problem is constructed, called as ?-approximated multitime multiobjective variational problem that contains the change in objective and both constraints functions. The equivalence between an efficient (Pareto optimal) solution to the main multitime multiobjective variational problem is derived along with its associated ?-approximated problem under invexity defined for a multi- time functional. Furthermore, we have also discussed the saddle-point criteria for the problem considered and its associated ?-approximated problems via generalized invexity assumptions.

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