The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions
نویسندگان
چکیده
* Correspondence: [email protected]. vn Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hanoi, Vietnam Full list of author information is available at the end of the article Abstract In this article, we present a new iteration method for finding a common element of the set of fixed points of p strict pseudocontractions and the set of solutions of equilibrium problems for pseudomonotone bifunctions without Lipschitz-type continuous conditions. The iterative process is based on the extragradient method and Armijo-type linesearch techniques. We obtain weak convergence theorems for the sequences generated by this process in a real Hilbert space. AMS 2010 Mathematics Subject Classification: 65 K10; 65 K15; 90 C25; 90 C33.
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