Algorithm for system of equilibrium problems and Bregman totally asymptotically quasi-nonexpansive mappings in Banach spaces

Pheerachate Bunpatcharacharoen

Abstract


In this paper, we introduce a new algorithm for nding common xed points of two Bregmantotally asymptotically quasi-nonexpansive mappings together with the solutions of equilibrium problems inBanach spaces. Moreover, we prove some strong convergence theorems under suitable control conditions.Our results extend and improve the recent ones of some others in the literature.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|