Journal of Mathematics (J. Math.) (20220101), Art ID 8644675, 9~pp. ISSN: 2314-4629 (print).eISSN: 2314-4785.
Subject
47 Operator theory -- 47H Nonlinear operators and their properties 47H10 Fixed-point theorems
47 Operator theory -- 47J Equations and inequalities involving nonlinear operators 47J20 Variational and other types of inequalities involving nonlinear operators
Summary: ``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.''