Weak convergence theorem for nding common xed points of a families of nonexpansive mappings and a nonspreading mapping in Hilbert spaces
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Abstract
In this paper, we introduce an iterative method and prove a weak convergence theorem for nding common xed points of a families of nonexpansive mappings and a nonspreading mapping in Hilbert spaces. Moreover, we apply our result to nding common element of a solution set of equilibrium problem with a relaxed monotone mapping and a common xed point set nonspreading mappings. Using the result, we improve and unify several results in xed point problems and equilibrium problems.
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