Multiple Objective Fractional Subset Programming Based on Generalized $(\rho, \eta, A)$-Invex Functions

Ram U. Verma

Abstract


Motivated by the recent investigations [7,8,10,11,12], a general framework for a class of $(\rho, \eta, A)$-invex n-set functions is introduced, and then some results on the optimality conditions for multiple objective fractional subset programming on the generalized $(\rho, \eta, A)$-invexity are explored. The obtained results are general in nature and seem to be application-oriented to other results on fractional subset programming in literature.

Keywords


Generalized $(\rho,\eta, A)$-invexity; Multiple objective fractional subset programming; Efficient solution; Generalized invexity; Semi-parametric sufficient optimality conditions

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DOI: http://dx.doi.org/10.26713%2Fjims.v3i1.43

eISSN 0975-5748; pISSN 0974-875X