Duality for a fractional variational formulation using $\eta $-approximated method

Khatri, Sony ; Prasad, Ashish Kumar

Kybernetika, Tome 59 (2023) no. 5, pp. 700-722

Abstract (VO)

The present article explores the way $\eta$-approximated method is applied to substantiate duality results for the fractional variational problems under invexity. $\eta$-approximated dual pair is engineered and a careful study of the original dual pair has been done to establish the duality results for original problems. Moreover, an appropriate example is constructed based on which we can validate the established dual statements. The paper includes several recent results as special cases.

Détail

DOI : 10.14736/kyb-2023-5-0700

Classification : 49J40, 49N15, 90C32, 90C46
Keywords: duality; variational problem; optimal solution

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