Hybrid projection algorithm concerning split equality fixed point problem for quasi-pseudo-contractive mappings with application to optimization problem


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

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References