η-Approximation Method for Non-convex Multiobjective Variational Problems

2017 ◽  
Vol 38 (9) ◽  
pp. 1125-1142 ◽  
Author(s):  
Tadeusz Antczak ◽  
Anna Michalak
Keyword(s):  
Approximation Method ◽  
Variational Problems ◽  
Multiobjective Variational Problems

scholarly journals Multitime multiobjective variational problems via η-approximation method

2021 ◽  
pp. 15-15
Author(s):  
Shalini Jha ◽  
Prasun Das ◽  
Sanghamitra Bandhyopadhyay
Keyword(s):  
Saddle Point ◽  
Variational Problem ◽  
Present Article ◽  
Approximation Method ◽  
Optimal Solution ◽  
Variational Problems ◽  
Pareto Optimal Solution ◽  
Pareto Optimal ◽  
Approximation Approach ◽  
Multiobjective Variational Problems

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.

scholarly journals Optimality Conditions and Duality for Multiobjective Variational Problems with Generalized -B-Type-I Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
C. Nahak ◽  
N. Behera
Keyword(s):  
Optimality Conditions ◽  
Variational Problems ◽  
Sufficient Optimality Conditions ◽  
Type I ◽  
Duality Results ◽  
Multiobjective Variational Problems ◽  
Generalized Type

We use -type-I and generalized -type-I functions to establish sufficient optimality conditions and duality results for multiobjective variational problems. Some of the related problems are also discussed.

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