Parametrically Sufficient Optimality Conditions for Multiobjective Fractional Subset Programming Relating to Generalized $(\eta, \rho, \theta)$-Invexity of Higher Order

Ram U. Verma

Abstract


Inspired by the recent investigations,  a general framework for a class of $(\eta, \rho,\theta)$-invex $n$-set functions of higher order $r\geq 1$ is introduced, and then some optimality conditions for multiobjective fractional programming on the generalized $(\eta,\rho,\theta)$-invexity are established. The obtained results are general in nature and unify various results on fractional subset programming in the literature.

Keywords


Generalized invexity of higher order; Multiobjective fractional programming; Fractional subset programming; Sufficient optimality conditions

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References


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DOI: http://dx.doi.org/10.26713%2Fjims.v5i3.221

eISSN 0975-5748; pISSN 0974-875X