Hybrid projection algorithm concerning split equality fixed point problem for quasi-pseudo-contractive mappings with application to optimization problem
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Authors
Jin-Fang Tang
- College of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.
Shih-Sen Chang
- Center for General Education, China Medical University, Taichung, 40402, Taiwan.
Ching-Feng Wen
- Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, 80708, Taiwan.
Jian Dong
- College of Mathematics, Yibin University, Yibin, Sichuan, 644007, China.
Abstract
The purpose of this paper is by using the shrinking projection method to study the split equality fixed
point problem for a class of quasi-pseudo-contractive mappings in the setting of Hilbert spaces. Under
suitable conditions, some strong convergence theorems are obtained. As applications, we utilize the results
presented in the paper to study the existence problem of solutions to the split equality variational inequality
problem and the split equality convex minimization problem. The results presented in our paper extend
and improve some recent results.
Share and Cite
ISRP Style
Jin-Fang Tang, Shih-Sen Chang, Ching-Feng Wen, Jian Dong, Hybrid projection algorithm concerning split equality fixed point problem for quasi-pseudo-contractive mappings with application to optimization problem, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 10, 5683--5694
AMA Style
Tang Jin-Fang, Chang Shih-Sen, Wen Ching-Feng, Dong Jian, Hybrid projection algorithm concerning split equality fixed point problem for quasi-pseudo-contractive mappings with application to optimization problem. J. Nonlinear Sci. Appl. (2016); 9(10):5683--5694
Chicago/Turabian Style
Tang, Jin-Fang, Chang, Shih-Sen, Wen, Ching-Feng, Dong, Jian. "Hybrid projection algorithm concerning split equality fixed point problem for quasi-pseudo-contractive mappings with application to optimization problem." Journal of Nonlinear Sciences and Applications, 9, no. 10 (2016): 5683--5694
Keywords
- Split equality fixed point problem
- quasi-pseudo-contractive mapping
- hybrid projection algorithm
- strong convergence theorem.
MSC
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