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Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
2010
Abstract and Applied Analysis
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We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the sense of Lyapunov functional in a real uniformly smooth and uniformly convex Banach space. Using the result we consider strong convergence theorems for variational inequalities and equilibrium problems in a real Hilbert space and strong
doi:10.1155/2010/301305
fatcat:p5eod5vip5akdemr47b4n4snc4