On order-Lipschitz mappings in Banach spaces without normalities of involving cones


Authors

Zhilong Li - School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China. - Research Center of Applied Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China. Shujun Jiang - Department of Mathematics, Jiangxi University of Finance and Economics, Nanchang, 330013, China. Rade Lazovic - Faculty of Organizational Sciences, University of Belgrade, Jove Ilica 154, Belgrade, Serbia.


Abstract

We prove a new fixed point theorem of order-Lipschitz mappings in Banach spaces without assumption of normalities of the involving cones, which presents a positive answer to a problem raised in [S. Jiang, Z. Li, Fixed Point Theory Appl., 2016 (2016), 10 pages] and improves the corresponding results of Krasnoselskii and Zabreiko’s and Zhang and Sun’s since the normality of the involving cone is removed.


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ISRP Style

Zhilong Li, Shujun Jiang, Rade Lazovic, On order-Lipschitz mappings in Banach spaces without normalities of involving cones, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 1, 27--33

AMA Style

Li Zhilong, Jiang Shujun, Lazovic Rade, On order-Lipschitz mappings in Banach spaces without normalities of involving cones. J. Nonlinear Sci. Appl. (2017); 10(1):27--33

Chicago/Turabian Style

Li, Zhilong, Jiang, Shujun, Lazovic, Rade. "On order-Lipschitz mappings in Banach spaces without normalities of involving cones." Journal of Nonlinear Sciences and Applications, 10, no. 1 (2017): 27--33


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