Geodesic
On generalizations and applications of variational principles of nonlinear analysis
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 377-385

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There are considered some classes of functions to which variational principles of nonlinear are applicable. In particular, it is shown that the Bishop-Phelps variational principle is applicable to some unbounded below functions. The properties of locally Lipschitzian mappings are investigated. Conditions for a mapping that is pseudo-Lipschitzian at every point of its graph to be Lipschitzian are derived.
Keywords: Bishop-Phelps variational principle, pseudo-Lipshitzian mapping. 
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     author = {Z. T. Zhukovskaya and S. E. Zhukovskiy},
     title = {On generalizations and applications of variational principles of nonlinear analysis},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {377--385},
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     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a4/}
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Z. T. Zhukovskaya; S. E. Zhukovskiy. On generalizations and applications of variational principles of nonlinear analysis. Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 123, pp. 377-385. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_123_a4/