Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms


Authors

Jing Zhao - College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China. Haili Zong - College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China. Guangxuan Liu - College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China. Hang Zhang - College of Science, Civil Aviation University of China, Tianjin, 300300, P. R. China.


Abstract

In this paper, we introduce a viscosity iterative algorithm for finding common solution of variational inequality for Lipschitzian and strongly monotone operators and the split equality common fixed-point problem for firmly quasi-nonexpansive operators. We prove the strong convergence of the proposed algorithm which does not need any prior information about the bounded linear operator norms.


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ISRP Style

Jing Zhao, Haili Zong, Guangxuan Liu, Hang Zhang, Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5428--5440

AMA Style

Zhao Jing, Zong Haili, Liu Guangxuan, Zhang Hang, Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms. J. Nonlinear Sci. Appl. (2016); 9(9):5428--5440

Chicago/Turabian Style

Zhao, Jing, Zong, Haili, Liu, Guangxuan, Zhang, Hang. "Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5428--5440


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