2017
DOI: 10.5556/j.tkjm.48.2017.2311
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Higher order optimality and duality in fractional vector optimization over cones

Abstract: Abstract. In this paper we give higher order sufficient optimality conditions for a fractional vector optimization problem over cones, using higher order cone-convex functions. A higher order Schaible type dual program is formulated over cones. Weak, strong and converse duality results are established by using the higher order cone convex and other related functions.

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Cited by 3 publications
(1 citation statement)
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“…Suneja et al (2018), introduced higher-order Schaible type dual model and derived duality theorems under cone convex and other related functions. Kapoor et al (2017), analysed the results of duality relationship of Wolfe and Mond-Weir type models by using higher-order cone-convex, ) , ( 21 K K pseudoconvexity/quasiconvexity assumptions. Chaudhary and Sharma (2019), another class of summed up preinvex set esteemed maps is presented and its portrayal as far as their contingent epi-subordinates is acquired.…”
Section: Introductionmentioning
confidence: 99%
“…Suneja et al (2018), introduced higher-order Schaible type dual model and derived duality theorems under cone convex and other related functions. Kapoor et al (2017), analysed the results of duality relationship of Wolfe and Mond-Weir type models by using higher-order cone-convex, ) , ( 21 K K pseudoconvexity/quasiconvexity assumptions. Chaudhary and Sharma (2019), another class of summed up preinvex set esteemed maps is presented and its portrayal as far as their contingent epi-subordinates is acquired.…”
Section: Introductionmentioning
confidence: 99%