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A new approach to solving strongly pseudomonotone equilibrium problems in Banach spaces using Bregman distance | ||
| Theory of Approximation and Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 02 آبان 1402 | ||
| نوع مقاله: Research Articles | ||
| نویسندگان | ||
| Roushanak Lotfikar* 1؛ Gholam reza Zamani Eskandani2 | ||
| 1Faculty of Basic Science, Ilam University, Ilam, Iran. | ||
| 2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran. | ||
| چکیده | ||
| In this article, we introduce new algorithms for solving equilibrium problem involving strongly pseudomonotone and Bregman Lipschitz-type bifunction in reflexive Banach spaces. The algorithm is constructed around the extragradient method and the advantage of the algorithm is that it is done without the prior knowledge of Bregman Lipschitz coefficients. Theorem of strong convergence is established under mild conditions. | ||
| کلیدواژه‌ها | ||
| Extragradient method؛ Bregman Lipschitz-type condition؛ Strongly Pseudomonotone bifunction؛ Legendre function | ||
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آمار تعداد مشاهده مقاله: 148 |
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