Abstract
The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of fixed point of nonexpansive mappings, set of a mixed equilibrium problem and the set of variational inclusions in a real Hilbert space. We prove that the sequence \(x_n\) which is generated by the proposed iterative algorithm converges strongly to a common element of four sets above. Furthermore, we give an application to optimization and some numerical examples which support our main theorem in the last part. Our result extended and improve the existing result of Yao et al. [19] and references therein.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
