Abstract
This paper aims to propose a new reckoning method for solving the split equality fixed point problem of demicontractive operators in Hilbert spaces, and to establish a theorem with regard to the strong convergence of this new scheme. As an application, we also consider quasi-pseudo-contractive operators and obtain a result on the solution to the split equality fixed point problem in the framework of Hilbert spaces. A numerical example is also provided.
Highlights
IntroductionThe split feasibility problem (SFP) appeared first in 1994, in a work of Censor and Elfving [1]; it refers to determining an element in the set
The split common fixed point problem (SCFP) appeared in a paper of Censor and Segal [5]; it refers to determining a point x satisfying x ∈ F (S) so that A x ∈ F ( T ), (1)
We study the SEFP (2), a generalization of the SCFP (1)
Summary
The split feasibility problem (SFP) appeared first in 1994, in a work of Censor and Elfving [1]; it refers to determining an element in the set. Signal processing and the reconstruction of images have benefited by the development of iterative methods for solving the SFP; see [2,3,4]. The split common fixed point problem (SCFP) appeared in a paper of Censor and Segal [5]; it refers to determining a point x satisfying x ∈ F (S) so that A x ∈ F ( T ), (1). The reconstruction of images or the radio-therapy have used, as a beneficial tool, the SCFP (1) [6,7,8,9,10,11,12,13,14]
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.