4.2 Article

Inexact proximal point methods for equilibrium problems in Banach spaces

Journal

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume 28, Issue 11-12, Pages 1279-1308

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/01630560701766668

Keywords

Bregman distance; equilibrium problem; inexact solutions; maximal monotone operator; proximal point method

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We introduce two inexact proximal-like methods for solving equilibrium problems in reflexive Banach spaces and establish their convergence properties, proving that the sequence generated by each one of them converges to a solution of the equilibrium problem under reasonable assumptions.

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