Geodesic
Sets convex in a~cone of directions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 73-76

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We consider sets which are convex in directions from some cone $K$. We generalize some well-known properties of ordinary convex sets for the case of $K$-convex sets and give some applications in optimization theory.
Keywords: $K$-convex sets, separability, cones, convex hull. 
@article{IVM_2013_10_a7,
     author = {M. A. Sevodin},
     title = {Sets convex in a~cone of directions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--76},
     publisher = {mathdoc},
     number = {10},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_10_a7/}
}
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M. A. Sevodin. Sets convex in a~cone of directions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2013), pp. 73-76. http://geodesic.mathdoc.fr/item/IVM_2013_10_a7/