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Fixed point theorems for better admissible multimaps on abstract convex spaces
Authors:Liu Xue-wen  Zhang Yue  Tan Ren-xin
Institution:School of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, China
Abstract:In this paper, a better admissible class B+ is introduced and a new fixed point theorem for better admissible multimap is proved on abstract convex spaces. As a consequence, we deduce a new fixed point theorem on abstract convex ?-spaces. Our main results generalize some recent work due to Lassonde, Kakutani, Browder, and Park.
Keywords:Multimap  fixed point  abstract convex space  better admissible class
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