Generalized hybrid $B-(b,\rho,\theta,\tilde{p},\tilde{r})-$invexities and efficiency conditions for multiobjective fractional programming

Abstract

This communication deals with first introducing the exponential type hybrid B − (b, ρ, θ,p,r)-invexities and then establishing a class of the ε− efficiency conditions applying to multiobjective fractional programming problems. The exponential type hybrid B − (b, ρ, θ,p,r)-invexities encompass most of the existing generalized higher order invexities as well as the exponential type generalized invexities, including the Antczak type first order B − (p,r)−invexities. To the best of our knowledge, the obtained results seem to be most advanced on generalized invexities available in the literature, while offer more suitable applications to other fields and beyond.2010 Mathematics Subject Classification. 90C30. 90C32, 90C34

Patterned rotary parallel-plate capacitor for frequency up-conversion and RC circuit waveform conditioning

“…While electret-free generators do require an initial voltage or charge to polarize them, this is not an issue in systems that include a rechargeable battery. Furthermore, in situations where truly battery-free operation is desired, other means for producing an initial charge to power electrostatic harvesters, such as the use of the triboelectric effect, is an area of active research [25][26][27][28].…”

Higher order duality in multiobjective fractional programming problem with generalized convexity

“…Further, conditions have been obtained under which a fractional function is higher order B − b, ρ, θ,p,r -invex with respect to a differentiable function G : X × R n → R, (X ⊂ R n ). More precisely, this paper is an extension of the generalized hybrid B − b, ρ, θ,p,r -invex function, introduced by Verma [18] to a class of higher-order duality; the sufficient optimality conditions have also been derived and duality results have been estabilished for Schaible type dual of a nondifferentiable multiobjective fractional programming problem.…”