Research articles
ScienceAsia (): 292-297 |doi:
10.2306/scienceasia1513-1874...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
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