On the approximation of solutions of quasi-equilibrium problems with errors
Abstract
In this paper, we study an inexact version of the proximal point algorithm for solving quasi-equilibrium problems in Banach spaces.We show that the sequence generated by the algorithm converges strongly to a solution of the problem.Our algorithm is new and requires fewer iterative steps than our previous algorithms in [D.Rouhani, V. Mohebbi, Extragradient methods for quasi-equilibrium problems in Banach spaces, J. Aust.Math.
Fields of Study & Subjects
Optimization and Variational Analysis
Contact Mechanics and Variational Inequalities
Iterative Methods for Nonlinear Equations
Publication details
- Journal / source
- Communications in Optimization Theory
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026