Fixed point theorems for set-valued contraction type maps in metric spaces
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2010-01-01Author
Amini-Harandi, A
O'Regan, D
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Amini-Harandi, A; O'Regan, D (2010). Fixed point theorems for set-valued contraction type maps in metric spaces. Fixed Point Theory and Applications ,
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Abstract
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature.