An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities. (8th February 2022)

• Record Type: Journal Article
• Authors: Yin, Tzu-Chien; Wu, Yan-Kuen; Wen, Ching-Feng
• Other Names: Kocinac Ljubisa Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-02-08
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/8644675
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator. Convergence theorems are shown under some mild conditions. Several corollaries are also obtained.