# Generalized (α, Β, Γ, Η, Ρ, Θ)-invex Functions in Semiinfinite Fractional Programming. Part I: Sufficient Optimality Conditions

@inproceedings{Zalmai2013Generalized, title={Generalized (α, Β, Γ, Η, Ρ, Θ)-invex Functions in Semiinfinite Fractional Programming. Part I: Sufficient Optimality Conditions}, author={G. J. Zalmai}, year={2013} }

- Published 2013

subject to Gj(x, t) ≤ 0 for all t ∈ Tj , j ∈ q, Hk(x, s) = 0 for all s ∈ Sk, k ∈ r, x ∈ X, where q and r are positive integers, X is a nonempty open convex subset of Rn (n-dimensional Euclidean space), for each j ∈ q ≡ {1, 2, . . . , q} and k ∈ r, Tj and Sk are compact subsets of complete metric spaces, f and g are real-valued functions defined on X, for each j ∈ q, z → Gj(z, t) is a real-valued function defined on X for all t ∈ Tj , for each k ∈ r, z → Hk(z, s) is a real-valued function… CONTINUE READING

#### From This Paper

##### Topics from this paper.

#### Citations

##### Publications citing this paper.

Showing 1-2 of 2 extracted citations

## Generalized hybrid B − ( b , ρ , θ , p̃ , r̃ ) − invexities and efficiency conditions for multiobjective fractional programming

View 6 Excerpts

Highly Influenced

## Mathematical Programming Based on Sufficient Optimality Conditions and Higher Order Exponential Type Generalized Invexities

View 4 Excerpts

Highly Influenced

#### References

##### Publications referenced by this paper.

Showing 1-10 of 55 references

## Generalized B-(p

View 7 Excerpts

Highly Influenced

## A novel feasible discretization method for linear semi-infinite programming applied to basket option pricing

View 1 Excerpt

## Generalized (F , β, φ, ρ, θ)-univex functions and duality models in semiinfinite fractional programming

View 2 Excerpts

## Generalized (F , β, φ, ρ, θ)-univex functions and optimality conditions in semiinfinite fractional programming

View 2 Excerpts

## A new mathematical approach in environmental and life sciences: gene-environment networks and their dynamics

View 1 Excerpt

## On the resolution of the Vasicek-type interest rate model

View 1 Excerpt

## Semi-infinite Programming and Applications in Finance

View 1 Excerpt