Open AccessMultitime multiobjective variational problems via η-approximation method
Author(s) -
Shalini Jha,
Prasun Das,
Sanghamitra Bandhyopadhyay
Publication year - 2022
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor201115015j
Subject(s) - equivalence (formal languages) , mathematics , saddle point , mathematical optimization , pareto principle , multi objective optimization , variational analysis , saddle , pure mathematics , geometry
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.