Coincidence and fixed point theorems for nonlinear hybrid generalized contractions
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 341-357.

Voir la notice de l'article dans Czech Digital Mathematics Library

In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.
Classification : 47H10, 54C60, 54H25
Mots-clés : Weakly commuting; compatible and weakly compatible mappings; asymptotically regular sequence; coincidence point and fixed point; Kannan mapping
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     author = {Pathak, H. K. and Kang, S. M. and Cho, Y. J.},
     title = {Coincidence and fixed point theorems for nonlinear hybrid generalized contractions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {341--357},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {1998},
     mrnumber = {1624260},
     zbl = {0949.54057},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a10/}
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Pathak, H. K.; Kang, S. M.; Cho, Y. J. Coincidence and fixed point theorems for nonlinear hybrid generalized contractions. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 341-357. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_2_a10/