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Fixed-point theorems for compact convex sets [PDF]

, 1961
Mahlon M. Day
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A Generalization of Kannan's Fixed Point Theorem

Fixed Point Theory and Applications, 2009
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Enjouji Yusuke, Nakanishi Masato, Suzuki Tomonari +2 more
doaj

Fixed-point theorems for certain classes of nonexpansive mappings [PDF]

, 1969
L. P. Belluce, W. A. Kirk
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On a generalized Krasnoselskii fixed point theorem

Open Mathematics
This study concerns a Krasnoselskii-type fixed point theorem for the sum of two operators A,BA,B in a Banach space EE, where BB is a Reich-type contractive mapping and AA is a k-set contractive mapping.
Pham Hien Van
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A fixed-point theorem [PDF]