An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen and Ljubisa Kocinac

Journal of Mathematics, 2022, vol. 2022, 1-9

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8644675

DOI: 10.1155/2022/8644675

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