Gradient projection-type algorithms for solving ϕ-strongly pseudomonotone equilibrium problems in Banach spaces. (2nd September 2022)

• Record Type: Journal Article
• Authors: Raeisi, M.; Chalack, M.; Zamani Eskandani, G.
• Is Part Of: Optimization. Volume 71:Number 9(2022)
• Page Start: 2749
• Page End: 2767
• Publication Date: 2022-09-02
• Subjects: Equilibrium problem -- ϕ-strongly pseudomonotone bifunction -- generalized projection; 47H09 -- 47H10; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1884860
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we introduce the concept of ϕ -strongly pseudomonotone bifunctions in Banach spaces and present two simple subgradient-type methods for solving ϕ -strongly pseudomonotone equilibrium problem. Under mild and standard assumptions, strong convergence theorems of the proposed algorithms are established. To illustrate the usability of our results, a numerical example is given in a non-Hilbertian space.