Weak convergence theorem for finding common fixed points of a families of nonexpansive mappings and a nonspreading mapping in Hilbert spaces

Somyotp Plubtieng

Abstract


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


Keywords


Equilibrium problem, Fixed point problem, Nonexpansive map- ping, Nonspreading mapping

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Progress in Applied Science and Technology

Faculty of Science and Technology
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