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Semi-infinite minimax fractional programming under (Φ, ρ )- V -invexity and generalised (Φ, ρ )- V -invexity. Optimality

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  • Tadeusz Antczak

Abstract

Semi-infinite minimax fractional programming problems with both inequality and equality constraints are considered. The sets of parametric sufficient optimality conditions for a new class of non-convex differentiable semi-infinite minimax fractional programming problems are obtained under (generalised) (Φ, ρ)-V-invexity assumptions imposed on the objective and constraint functions. With the reference to the said functions, we extend some results of optimality for a larger class of non-convex semi-infinite minimax fractional programming problems in comparison to those ones, previously established in the literature under other generalised convex notions.

Suggested Citation

  • Tadeusz Antczak, 2018. "Semi-infinite minimax fractional programming under (Φ, ρ )- V -invexity and generalised (Φ, ρ )- V -invexity. Optimality," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 31(2), pages 164-197.
    • Handle: RePEc:ids:ijores:v:31:y:2018:i:2:p:164-197
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