Abstract
The purpose of this paper is to introduce two hybrid algorithms for the variational inequalities and mixed equilibrium problems over the common fixed points set of nonexpansive semigroups in Hilbert space. Under suitable conditions some strong convergence theorems for these two hybrid algorithms are proved. The results presented in the paper extend and improve some recent results.
Highlights
1 Introduction Throughout this paper, we always assume that H is a real Hilbert space with inner product ·, · and norm ·, C is a nonempty closed convex subset of H and PC is the metric projection of H onto C
If φ ≡, this problem reduces to the equilibrium problem (EP), which is to find x∗ ∈ C such that
Motivated and inspired by Ceng and Yao [ ] and Yang et al [ ], the purpose of this paper is to introduce two hybrid algorithms for the variational inequalities and mixed equilibrium problems over the common fixed points set of nonexpansive semigroups in Hilbert space
Summary
Throughout this paper, we always assume that H is a real Hilbert space with inner product · , · and norm · , C is a nonempty closed convex subset of H and PC is the metric projection of H onto C.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
