Dual Equilibrium Problems in Reflexive Banach Spaces
Abstract
The aim of this paper is to investigate the dual problem of a generalized equilibrium problem in the framework of a reflexive Banach space. By means of the Fenchel duality, we introduce the dual problem defined via the Fitzpatrick transform of the bifunction involved, that turns out to be an equilibrium problem itself in the dual space. We present conditions which entail the solvability of both primal and dual problems.
Fields of Study & Subjects
Optimization and Variational Analysis
Contact Mechanics and Variational Inequalities
Advanced Banach Space Theory
Publication details
- Journal / source
- Journal of convex analysis
- Volume
- 33
- Issue
- 1&2
- Pages
- 543–560
- Publication date
- 1 January 2026
- Language
- EN