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Received June 6, 2019; Accepted October 20, 2019; Published November 5, 2019
Abstract. In this paper, we study a modified subgradient extragradient iterative algorithm for the approximation of solutions of pseudomonotone equilibrium problems in the framework of 2-uniformly convex Banach spaces which are also uniformly smooth. Our algorithm is based on two popular iterative methods: the Popov extragradient algorithm and the subgradient extragradient algorithm. We further state and prove a weak convergence result under some mild conditions.
How to Cite this Article:
Ferdinard U. Ogbuisi, Popov subgradient extragradient algorithm for pseudomonotone equilibrium problems in Banach spaces, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 44, pp. 1-13.