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On α-convex operators
Authors:Chengbo Zhai  Chunmei Guo
Affiliation:Department of Mathematics, Shanxi University, Taiyuan, 030006 Shanxi, People's Republic of China
Abstract:In this paper, the existence and uniqueness of positive fixed points for a class of convex operators is obtained by means of the properties of cone, concave operators and the monotonicity of set-valued maps. In the end, we give a simple application to certain integral equations.
Keywords:α-Convex operator   Normal cone   Positive fixed point
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