Geodesic
Optimality and duality results for (h, φ) -nondifferentiable multiobjective programming problems with (h, φ) - (b, f, ρ) -convex functions
Filomat, Tome 36 (2022) no. 12, p. 4139

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DOI

Generalized algebraic operations introduced by Ben-Tal [5] are used to define new classes of generalized convex functions, namely (h, φ)-(b, F, ρ)-convex functions and generalized (h, φ)-(b, F, ρ)-convex functions in the vectorial case. Further, optimality and duality results are proved for the considered h, φ-nondifferentiable multiobjective programming problem under assumptions that the functions involved are (generalized) (h, φ)-(b,F, ρ)-convex.
DOI : 10.2298/FIL2212139A
Classification : 90C34, 90C46, 90C56, 26B25
Keywords: Generalized algebraic operations, ( h, φ ) -nondifferentiable multiobjective programming, ( h, φ ) - ( b, F, ρ ) -convex function, optimality and duality 
Tadeusz Antczak; Vinay Singh; Mohan Bir Subba. Optimality and duality results for (h, φ) -nondifferentiable multiobjective programming problems with (h, φ) - (b, f, ρ) -convex functions. Filomat, Tome 36 (2022) no. 12, p. 4139 . doi: 10.2298/FIL2212139A
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     author = {Tadeusz Antczak and Vinay Singh and Mohan Bir Subba},
     title = {Optimality and duality results for (h, \ensuremath{\varphi}) -nondifferentiable multiobjective programming problems with (h, \ensuremath{\varphi}) - (b, f, \ensuremath{\rho}) -convex functions},
     journal = {Filomat},
     pages = {4139 },
     year = {2022},
     volume = {36},
     number = {12},
     doi = {10.2298/FIL2212139A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212139A/}
}
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