A new approach to solving strongly pseudomonotone equilibrium problems in Banach spaces using Bregman distance
محورهای موضوعی : Mathematical AnalysisRoushanak Lotfikar 1 , Gholam reza Zamani Eskandani 2
1 - Faculty of Basic Science, Ilam University, Ilam, Iran.
2 - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
کلید واژه: Extragradient method, Strongly Pseudomonotone bifunction, Legendre function, Bregman Lipschitz-type condition,
چکیده مقاله :
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.
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.
