Geodesic
Upper and lower directional derivative sets and differentials of the set valued maps
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 32 (2022) no. 3, pp. 403-414

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In this paper directional derivative sets and differentials of a given set valued map are studied. Different type relations between directional derivative sets and differentials of a set valued map are specified. It is established that every compact subset of lower derivative set can be used for lower approximation of given set valued map. Upper and lower contingent cones of some plane sets are calculated and compared.
Keywords: set valued map, contingent cone, differential, directional derivative set, Hausdorff deviation. 
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     author = {N. Ege and A. Huseyin and N. Huseyin},
     title = {Upper and lower directional derivative sets and differentials of the set valued maps},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VUU_2022_32_3_a3/}
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N. Ege; A. Huseyin; N. Huseyin. Upper and lower directional derivative sets and differentials of the set valued maps. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 32 (2022) no. 3, pp. 403-414. http://geodesic.mathdoc.fr/item/VUU_2022_32_3_a3/