A simultaneous Bregman projection methods for solving mixed split equality problems and fixed point problems in \(p\)-uniformly convex and uniformly smooth Banach spaces
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Authors
Haitao Che
- School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.
Meixia Li
- School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.
JingJing Tan
- School of Mathematics and Information Science, Weifang University, Weifang, 261061, China.
Abstract
In this article, a simultaneous Bregman projection scheme is introduced to approximate a common element of the set of fixed points of left Bregman strongly nonexpansive mapping and the set of solutions of mixed split equality problems in \(p (p\geq 2)\)-uniformly convex and uniformly smooth Banach spaces. We obtain the weak convergence theorem of the sequences generated by our scheme under some appropriate conditions. Furthermore, we apply our iterative algorithms to the split feasibility problem.
Finally, several numerical results are shown
to confirm the feasibility of the proposed methods. Our result presented in the article
are new and improve and extend some recent corresponding results.
Share and Cite
ISRP Style
Haitao Che, Meixia Li, JingJing Tan, A simultaneous Bregman projection methods for solving mixed split equality problems and fixed point problems in \(p\)-uniformly convex and uniformly smooth Banach spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 8, 4459--4473
AMA Style
Che Haitao, Li Meixia, Tan JingJing, A simultaneous Bregman projection methods for solving mixed split equality problems and fixed point problems in \(p\)-uniformly convex and uniformly smooth Banach spaces. J. Nonlinear Sci. Appl. (2017); 10(8):4459--4473
Chicago/Turabian Style
Che, Haitao, Li, Meixia, Tan, JingJing. "A simultaneous Bregman projection methods for solving mixed split equality problems and fixed point problems in \(p\)-uniformly convex and uniformly smooth Banach spaces." Journal of Nonlinear Sciences and Applications, 10, no. 8 (2017): 4459--4473
Keywords
- Fixed point
- split equality problem
- left Bregman strongly nonexpansive mapping
- simultaneous iterative method
- weak convergence
- uniformly convex
- uniformly smooth.
MSC
References
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