Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces |
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| Authors: | Alfredo N. Iusem |
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| Affiliation: | Instituto Nacional de Matemática Pura e Aplicada , Rio de Janeiro, Brazil |
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| Abstract: | 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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| Keywords: | Bregman distance Equilibrium problem Inexact solutions Maximal monotone operator Proximal point method |
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