2014•International Journal of Mathematics & Statistics/International journal of mathematics and statisticsRequires access

Generalized Efficiency Conditions for Multiobjective Fractional Programming Based on Higher Order Invexity Frameworks

Ram U. Verma

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Abstract

A general class of parametric sufficient efficiency conditions for multiobjective fractional programming based on higher order invexities is developed and then efficient solutions to multiobjective fractional programming problems are established. The results thus obtained are new and generalize a wide range of investigations on multiobjective fractional programming in the literature.

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Key concepts: Fractional programming, Mathematics, Mathematical optimization, Multi-objective optimization, Multiobjective programming, Order (exchange), Parametric statistics, Class (philosophy)