A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings. (2nd December 2021)

• Record Type: Journal Article
• Authors: Song, Yanlai; Pei, Yonggang
• Is Part Of: Optimization. Volume 70:Number 12(2021)
• Page Start: 2635
• Page End: 2653
• Publication Date: 2021-12-02
• Subjects: Hilbert space -- semi-implicit midpoint rule -- strict pseudo-contraction -- (αβ)-generalized hybrid mapping -- quasi-variational inclusion problem; Primary: 47H09 -- Secondary: 47H10 -- 49H17; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1789640
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we suggest and analyse a new viscosity semi-implicit midpoint iterative scheme for strict pseudo-contractions and ( α, β ) -generalized hybrid mappings in real Hilbert space. Further, some strong convergence theorems for finding a common fixed point of strict pseudo-contractions and ( α, β ) -generalized hybrid mappings are proved. And some applications are provided to quasi-variational inclusion problems. A numerical example is also given to demonstrate our results.