Geodesic
The inequality of Karisti and generalized compression (the case of singular images)
Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 243-249

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In the present paper we consider a new inequality of Carity type and prove a theorem on a fixed point. Further, relying on the theorem obtained, we study maps (generalized contractions) that compress relative to some function of two vector arguments. This function does not need to be a metric or even continuous.
Keywords: metric space, generalized compression, fixed point. 
@article{VTAMU_2018_23_122_a15,
     author = {B. D. Gel'man},
     title = {The inequality of {Karisti} and generalized compression (the case of singular images)},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {243--249},
     publisher = {mathdoc},
     volume = {23},
     number = {122},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a15/}
}
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B. D. Gel'man. The inequality of Karisti and generalized compression (the case of singular images). Vestnik rossijskih universitetov. Matematika, Tome 23 (2018) no. 122, pp. 243-249. http://geodesic.mathdoc.fr/item/VTAMU_2018_23_122_a15/