A hybrid extragradient method extended to fixed point problems and equilibrium problems
- 1 February 2013
- journal article
- research article
- Published by Taylor & Francis in Optimization
- Vol. 62 (2), 271-283
- https://doi.org/10.1080/02331934.2011.607497
Abstract
In this article, we present a new hybrid extragradient iteration method for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of equilibrium problems for a pseudomonotone and Lipschitz-type continuous bifunction. We obtain strongly convergent theorems for the sequences generated by these processes in a real Hilbert space.Keywords
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