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ScienceAsia 45 (2019): 292-297 |doi: 10.2306/scienceasia1513-1874.2019.45.292

The generalized von Neumann-Jordan type constant and fixed points for multivalued nonexpansive mappings

Zhan-fei Zuoa,b

ABSTRACT:     Some sufficient conditions for the Domínguez-Lorenzo condition in terms of the generalized von NeumannJordan type constant C(p) −∞ (X ), the coefficient of weak orthogonality µ(X ), the Domínguez Benavides coefficient R(1, X ) were given in this paper, which imply the existence of fixed point for multivalued nonexpansive mappings. Moreover, these results improve some well known conclusion in the recent literature.

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a Department of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing 404100 China
b Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Wanzhou, Chongqing 404100 China

* Corresponding author, E-mail: zuozhanfei@139.com

Received 30 Mar 2019, Accepted 7 Jun 2019