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Coincidence and fixed point theorems for nonlinear hybrid generalized contractions
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 341-357 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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
Keywords: Weakly commuting; compatible and weakly compatible mappings; asymptotically regular sequence; coincidence point and fixed point; Kannan mapping 
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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. http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a10/

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